Finding the Third Proportional to 82,708 and 123,735

Step by Step Solution

1. Step 1: Write the proportion equation
   82,708 : 123,735 = 123,735 : x
2. Step 2: Convert to fraction form
   82,708/123,735 = 123,735/x
3. Step 3: Cross multiply
   82,708x = 123,735 × 123,735
4. Step 4: Simplify right side
   82,708x = 15,310,350,225
5. Step 5: Solve for x
   x = 15,310,350,225/82,708
6. Step 6: Final answer
   x = 185,113.29