Finding the Third Proportional to 59,494.50 and 128,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,494.50 : 128,785.50 = 128,785.50 : x
2. Step 2: Convert to fraction form
   59,494.50/128,785.50 = 128,785.50/x
3. Step 3: Cross multiply
   59,494.50x = 128,785.50 × 128,785.50
4. Step 4: Simplify right side
   59,494.50x = 16,585,705,010.25
5. Step 5: Solve for x
   x = 16,585,705,010.25/59,494.50
6. Step 6: Final answer
   x = 278,777.11