Finding the Third Proportional to 85,174.50 and 132,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,174.50 : 132,256.50 = 132,256.50 : x
2. Step 2: Convert to fraction form
   85,174.50/132,256.50 = 132,256.50/x
3. Step 3: Cross multiply
   85,174.50x = 132,256.50 × 132,256.50
4. Step 4: Simplify right side
   85,174.50x = 17,491,781,792.25
5. Step 5: Solve for x
   x = 17,491,781,792.25/85,174.50
6. Step 6: Final answer
   x = 205,364.07