Finding the Third Proportional to 59,414 and 132,112

Step by Step Solution

1. Step 1: Write the proportion equation
   59,414 : 132,112 = 132,112 : x
2. Step 2: Convert to fraction form
   59,414/132,112 = 132,112/x
3. Step 3: Cross multiply
   59,414x = 132,112 × 132,112
4. Step 4: Simplify right side
   59,414x = 17,453,580,544
5. Step 5: Solve for x
   x = 17,453,580,544/59,414
6. Step 6: Final answer
   x = 293,762.09