Finding the Third Proportional to 82,657 and 123,665

Step by Step Solution

1. Step 1: Write the proportion equation
   82,657 : 123,665 = 123,665 : x
2. Step 2: Convert to fraction form
   82,657/123,665 = 123,665/x
3. Step 3: Cross multiply
   82,657x = 123,665 × 123,665
4. Step 4: Simplify right side
   82,657x = 15,293,032,225
5. Step 5: Solve for x
   x = 15,293,032,225/82,657
6. Step 6: Final answer
   x = 185,017.99