Finding the Third Proportional to 177,510,719,025 and 380,155,421,826

Step by Step Solution

1. Step 1: Write the proportion equation
   177,510,719,025 : 380,155,421,826 = 380,155,421,826 : x
2. Step 2: Convert to fraction form
   177,510,719,025/380,155,421,826 = 380,155,421,826/x
3. Step 3: Cross multiply
   177,510,719,025x = 380,155,421,826 × 380,155,421,826
4. Step 4: Simplify right side
   177,510,719,025x = 144,518,144,743,704,004,395,008
5. Step 5: Solve for x
   x = 144,518,144,743,704,004,395,008/177,510,719,025
6. Step 6: Final answer
   x = 814,137,566,100.17