Finding the Third Proportional to 632,597,212,233 and 963,696,491,820

Step by Step Solution

1. Step 1: Write the proportion equation
   632,597,212,233 : 963,696,491,820 = 963,696,491,820 : x
2. Step 2: Convert to fraction form
   632,597,212,233/963,696,491,820 = 963,696,491,820/x
3. Step 3: Cross multiply
   632,597,212,233x = 963,696,491,820 × 963,696,491,820
4. Step 4: Simplify right side
   632,597,212,233x = 928,710,928,346,175,389,040,640
5. Step 5: Solve for x
   x = 928,710,928,346,175,389,040,640/632,597,212,233
6. Step 6: Final answer
   x = 1,468,092,034,531.62