Finding the Third Proportional to 59,478.75 and 128,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,478.75 : 128,758.50 = 128,758.50 : x
2. Step 2: Convert to fraction form
   59,478.75/128,758.50 = 128,758.50/x
3. Step 3: Cross multiply
   59,478.75x = 128,758.50 × 128,758.50
4. Step 4: Simplify right side
   59,478.75x = 16,578,751,322.25
5. Step 5: Solve for x
   x = 16,578,751,322.25/59,478.75
6. Step 6: Final answer
   x = 278,734.02