Finding the Third Proportional to 397,684,434,404 and 872,362,623,631

Step by Step Solution

1. Step 1: Write the proportion equation
   397,684,434,404 : 872,362,623,631 = 872,362,623,631 : x
2. Step 2: Convert to fraction form
   397,684,434,404/872,362,623,631 = 872,362,623,631/x
3. Step 3: Cross multiply
   397,684,434,404x = 872,362,623,631 × 872,362,623,631
4. Step 4: Simplify right side
   397,684,434,404x = 761,016,547,108,361,823,322,112
5. Step 5: Solve for x
   x = 761,016,547,108,361,823,322,112/397,684,434,404
6. Step 6: Final answer
   x = 1,913,619,144,407.50