Finding the Third Proportional to 59,878.50 and 83,255.25

Step by Step Solution

1. Step 1: Write the proportion equation
   59,878.50 : 83,255.25 = 83,255.25 : x
2. Step 2: Convert to fraction form
   59,878.50/83,255.25 = 83,255.25/x
3. Step 3: Cross multiply
   59,878.50x = 83,255.25 × 83,255.25
4. Step 4: Simplify right side
   59,878.50x = 6,931,436,652.56
5. Step 5: Solve for x
   x = 6,931,436,652.56/59,878.50
6. Step 6: Final answer
   x = 115,758.35