Finding the Third Proportional to 82,655.75 and 123,663

Step by Step Solution

1. Step 1: Write the proportion equation
   82,655.75 : 123,663 = 123,663 : x
2. Step 2: Convert to fraction form
   82,655.75/123,663 = 123,663/x
3. Step 3: Cross multiply
   82,655.75x = 123,663 × 123,663
4. Step 4: Simplify right side
   82,655.75x = 15,292,537,569
5. Step 5: Solve for x
   x = 15,292,537,569/82,655.75
6. Step 6: Final answer
   x = 185,014.81