Finding the Third Proportional to 1,157,213,496 and 1,746,581,676

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157,213,496 : 1,746,581,676 = 1,746,581,676 : x
2. Step 2: Convert to fraction form
   1,157,213,496/1,746,581,676 = 1,746,581,676/x
3. Step 3: Cross multiply
   1,157,213,496x = 1,746,581,676 × 1,746,581,676
4. Step 4: Simplify right side
   1,157,213,496x = 3,050,547,550,938,969,088
5. Step 5: Solve for x
   x = 3,050,547,550,938,969,088/1,157,213,496
6. Step 6: Final answer
   x = 2,636,114,737.24