Finding the Third Proportional to 61,666 and 132,538

Step by Step Solution

1. Step 1: Write the proportion equation
   61,666 : 132,538 = 132,538 : x
2. Step 2: Convert to fraction form
   61,666/132,538 = 132,538/x
3. Step 3: Cross multiply
   61,666x = 132,538 × 132,538
4. Step 4: Simplify right side
   61,666x = 17,566,321,444
5. Step 5: Solve for x
   x = 17,566,321,444/61,666
6. Step 6: Final answer
   x = 284,862.35