Finding the Third Proportional to 177,732.50 and 389,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,732.50 : 389,906.50 = 389,906.50 : x
2. Step 2: Convert to fraction form
   177,732.50/389,906.50 = 389,906.50/x
3. Step 3: Cross multiply
   177,732.50x = 389,906.50 × 389,906.50
4. Step 4: Simplify right side
   177,732.50x = 152,027,078,742.25
5. Step 5: Solve for x
   x = 152,027,078,742.25/177,732.50
6. Step 6: Final answer
   x = 855,370.17