Finding the Third Proportional to 59,413 and 132,109

Step by Step Solution

1. Step 1: Write the proportion equation
   59,413 : 132,109 = 132,109 : x
2. Step 2: Convert to fraction form
   59,413/132,109 = 132,109/x
3. Step 3: Cross multiply
   59,413x = 132,109 × 132,109
4. Step 4: Simplify right side
   59,413x = 17,452,787,881
5. Step 5: Solve for x
   x = 17,452,787,881/59,413
6. Step 6: Final answer
   x = 293,753.69