Finding the Third Proportional to 59,879.50 and 83,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,879.50 : 83,256.50 = 83,256.50 : x
2. Step 2: Convert to fraction form
   59,879.50/83,256.50 = 83,256.50/x
3. Step 3: Cross multiply
   59,879.50x = 83,256.50 × 83,256.50
4. Step 4: Simplify right side
   59,879.50x = 6,931,644,792.25
5. Step 5: Solve for x
   x = 6,931,644,792.25/59,879.50
6. Step 6: Final answer
   x = 115,759.90