Finding the Third Proportional to 177,452 and 271,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,452 : 271,493.50 = 271,493.50 : x
2. Step 2: Convert to fraction form
   177,452/271,493.50 = 271,493.50/x
3. Step 3: Cross multiply
   177,452x = 271,493.50 × 271,493.50
4. Step 4: Simplify right side
   177,452x = 73,708,720,542.25
5. Step 5: Solve for x
   x = 73,708,720,542.25/177,452
6. Step 6: Final answer
   x = 415,372.72