Finding the Third Proportional to 59,414 and 132,111

Step by Step Solution

1. Step 1: Write the proportion equation
   59,414 : 132,111 = 132,111 : x
2. Step 2: Convert to fraction form
   59,414/132,111 = 132,111/x
3. Step 3: Cross multiply
   59,414x = 132,111 × 132,111
4. Step 4: Simplify right side
   59,414x = 17,453,316,321
5. Step 5: Solve for x
   x = 17,453,316,321/59,414
6. Step 6: Final answer
   x = 293,757.64