Finding the Third Proportional to 59,123 and 128,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,123 : 128,292.50 = 128,292.50 : x
2. Step 2: Convert to fraction form
   59,123/128,292.50 = 128,292.50/x
3. Step 3: Cross multiply
   59,123x = 128,292.50 × 128,292.50
4. Step 4: Simplify right side
   59,123x = 16,458,965,556.25
5. Step 5: Solve for x
   x = 16,458,965,556.25/59,123
6. Step 6: Final answer
   x = 278,385.16