Finding the Third Proportional to 82,658 and 123,666

Step by Step Solution

1. Step 1: Write the proportion equation
   82,658 : 123,666 = 123,666 : x
2. Step 2: Convert to fraction form
   82,658/123,666 = 123,666/x
3. Step 3: Cross multiply
   82,658x = 123,666 × 123,666
4. Step 4: Simplify right side
   82,658x = 15,293,279,556
5. Step 5: Solve for x
   x = 15,293,279,556/82,658
6. Step 6: Final answer
   x = 185,018.75