Finding the Third Proportional to 106,535,859,470 and 231,826,321,798

Step by Step Solution

1. Step 1: Write the proportion equation
   106,535,859,470 : 231,826,321,798 = 231,826,321,798 : x
2. Step 2: Convert to fraction form
   106,535,859,470/231,826,321,798 = 231,826,321,798/x
3. Step 3: Cross multiply
   106,535,859,470x = 231,826,321,798 × 231,826,321,798
4. Step 4: Simplify right side
   106,535,859,470x = 53,743,443,478,389,851,160,576
5. Step 5: Solve for x
   x = 53,743,443,478,389,851,160,576/106,535,859,470
6. Step 6: Final answer
   x = 504,463,414,907.95