Finding the Third Proportional to 59,152.50 and 128,142

Step by Step Solution

1. Step 1: Write the proportion equation
   59,152.50 : 128,142 = 128,142 : x
2. Step 2: Convert to fraction form
   59,152.50/128,142 = 128,142/x
3. Step 3: Cross multiply
   59,152.50x = 128,142 × 128,142
4. Step 4: Simplify right side
   59,152.50x = 16,420,372,164
5. Step 5: Solve for x
   x = 16,420,372,164/59,152.50
6. Step 6: Final answer
   x = 277,593.88