Finding the Third Proportional to 61,539 and 132,510

Step by Step Solution

1. Step 1: Write the proportion equation
   61,539 : 132,510 = 132,510 : x
2. Step 2: Convert to fraction form
   61,539/132,510 = 132,510/x
3. Step 3: Cross multiply
   61,539x = 132,510 × 132,510
4. Step 4: Simplify right side
   61,539x = 17,558,900,100
5. Step 5: Solve for x
   x = 17,558,900,100/61,539
6. Step 6: Final answer
   x = 285,329.63