Finding the Third Proportional to 60,321 and 132,538

Step by Step Solution

1. Step 1: Write the proportion equation
   60,321 : 132,538 = 132,538 : x
2. Step 2: Convert to fraction form
   60,321/132,538 = 132,538/x
3. Step 3: Cross multiply
   60,321x = 132,538 × 132,538
4. Step 4: Simplify right side
   60,321x = 17,566,321,444
5. Step 5: Solve for x
   x = 17,566,321,444/60,321
6. Step 6: Final answer
   x = 291,214.03