Finding the Third Proportional to 177,510,718,862 and 380,155,421,499

Step by Step Solution

1. Step 1: Write the proportion equation
   177,510,718,862 : 380,155,421,499 = 380,155,421,499 : x
2. Step 2: Convert to fraction form
   177,510,718,862/380,155,421,499 = 380,155,421,499/x
3. Step 3: Cross multiply
   177,510,718,862x = 380,155,421,499 × 380,155,421,499
4. Step 4: Simplify right side
   177,510,718,862x = 144,518,144,495,082,356,604,928
5. Step 5: Solve for x
   x = 144,518,144,495,082,356,604,928/177,510,718,862
6. Step 6: Final answer
   x = 814,137,565,447.15