Finding the Third Proportional to 59,382 and 126,050

Step by Step Solution

1. Step 1: Write the proportion equation
   59,382 : 126,050 = 126,050 : x
2. Step 2: Convert to fraction form
   59,382/126,050 = 126,050/x
3. Step 3: Cross multiply
   59,382x = 126,050 × 126,050
4. Step 4: Simplify right side
   59,382x = 15,888,602,500
5. Step 5: Solve for x
   x = 15,888,602,500/59,382
6. Step 6: Final answer
   x = 267,565.97