Finding the Third Proportional to 57,782.25 and 86,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,782.25 : 86,440.50 = 86,440.50 : x
2. Step 2: Convert to fraction form
   57,782.25/86,440.50 = 86,440.50/x
3. Step 3: Cross multiply
   57,782.25x = 86,440.50 × 86,440.50
4. Step 4: Simplify right side
   57,782.25x = 7,471,960,040.25
5. Step 5: Solve for x
   x = 7,471,960,040.25/57,782.25
6. Step 6: Final answer
   x = 129,312.38