Finding the Third Proportional to 14,562,120,278,178 and 31,687,760,335,468

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562,120,278,178 : 31,687,760,335,468 = 31,687,760,335,468 : x
2. Step 2: Convert to fraction form
   14,562,120,278,178/31,687,760,335,468 = 31,687,760,335,468/x
3. Step 3: Cross multiply
   14,562,120,278,178x = 31,687,760,335,468 × 31,687,760,335,468
4. Step 4: Simplify right side
   14,562,120,278,178x = 1,004,114,155,078,059,042,424,225,792
5. Step 5: Solve for x
   x = 1,004,114,155,078,059,042,424,225,792/14,562,120,278,178
6. Step 6: Final answer
   x = 68,953,842,977,301.17