Finding the Third Proportional to 57,258.50 and 85,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,258.50 : 85,624.50 = 85,624.50 : x
2. Step 2: Convert to fraction form
   57,258.50/85,624.50 = 85,624.50/x
3. Step 3: Cross multiply
   57,258.50x = 85,624.50 × 85,624.50
4. Step 4: Simplify right side
   57,258.50x = 7,331,555,000.25
5. Step 5: Solve for x
   x = 7,331,555,000.25/57,258.50
6. Step 6: Final answer
   x = 128,043.09