Finding the Third Proportional to 74,992.50 and 177,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,992.50 : 177,025.50 = 177,025.50 : x
2. Step 2: Convert to fraction form
   74,992.50/177,025.50 = 177,025.50/x
3. Step 3: Cross multiply
   74,992.50x = 177,025.50 × 177,025.50
4. Step 4: Simplify right side
   74,992.50x = 31,338,027,650.25
5. Step 5: Solve for x
   x = 31,338,027,650.25/74,992.50
6. Step 6: Final answer
   x = 417,882.16