Finding the Third Proportional to 59,878.50 and 83,256.75

Step by Step Solution

1. Step 1: Write the proportion equation
   59,878.50 : 83,256.75 = 83,256.75 : x
2. Step 2: Convert to fraction form
   59,878.50/83,256.75 = 83,256.75/x
3. Step 3: Cross multiply
   59,878.50x = 83,256.75 × 83,256.75
4. Step 4: Simplify right side
   59,878.50x = 6,931,686,420.56
5. Step 5: Solve for x
   x = 6,931,686,420.56/59,878.50
6. Step 6: Final answer
   x = 115,762.53