Finding the Third Proportional to 59,626 and 132,374

Step by Step Solution

1. Step 1: Write the proportion equation
   59,626 : 132,374 = 132,374 : x
2. Step 2: Convert to fraction form
   59,626/132,374 = 132,374/x
3. Step 3: Cross multiply
   59,626x = 132,374 × 132,374
4. Step 4: Simplify right side
   59,626x = 17,522,875,876
5. Step 5: Solve for x
   x = 17,522,875,876/59,626
6. Step 6: Final answer
   x = 293,879.78