Finding the Third Proportional to 81,400 and 123,666

Step by Step Solution

1. Step 1: Write the proportion equation
   81,400 : 123,666 = 123,666 : x
2. Step 2: Convert to fraction form
   81,400/123,666 = 123,666/x
3. Step 3: Cross multiply
   81,400x = 123,666 × 123,666
4. Step 4: Simplify right side
   81,400x = 15,293,279,556
5. Step 5: Solve for x
   x = 15,293,279,556/81,400
6. Step 6: Final answer
   x = 187,878.13