Finding the Third Proportional to 123,402,155,294 and 173,777,427,512

Step by Step Solution

1. Step 1: Write the proportion equation
   123,402,155,294 : 173,777,427,512 = 173,777,427,512 : x
2. Step 2: Convert to fraction form
   123,402,155,294/173,777,427,512 = 173,777,427,512/x
3. Step 3: Cross multiply
   123,402,155,294x = 173,777,427,512 × 173,777,427,512
4. Step 4: Simplify right side
   123,402,155,294x = 30,198,594,312,688,413,704,192
5. Step 5: Solve for x
   x = 30,198,594,312,688,413,704,192/123,402,155,294
6. Step 6: Final answer
   x = 244,716,911,473.24