Finding the Third Proportional to 81,724 and 123,279

Step by Step Solution

1. Step 1: Write the proportion equation
   81,724 : 123,279 = 123,279 : x
2. Step 2: Convert to fraction form
   81,724/123,279 = 123,279/x
3. Step 3: Cross multiply
   81,724x = 123,279 × 123,279
4. Step 4: Simplify right side
   81,724x = 15,197,711,841
5. Step 5: Solve for x
   x = 15,197,711,841/81,724
6. Step 6: Final answer
   x = 185,963.88