Finding the Third Proportional to 81,928 and 123,644

Step by Step Solution

1. Step 1: Write the proportion equation
   81,928 : 123,644 = 123,644 : x
2. Step 2: Convert to fraction form
   81,928/123,644 = 123,644/x
3. Step 3: Cross multiply
   81,928x = 123,644 × 123,644
4. Step 4: Simplify right side
   81,928x = 15,287,838,736
5. Step 5: Solve for x
   x = 15,287,838,736/81,928
6. Step 6: Final answer
   x = 186,600.90