Finding the Third Proportional to 81,684 and 123,750

Step by Step Solution

1. Step 1: Write the proportion equation
   81,684 : 123,750 = 123,750 : x
2. Step 2: Convert to fraction form
   81,684/123,750 = 123,750/x
3. Step 3: Cross multiply
   81,684x = 123,750 × 123,750
4. Step 4: Simplify right side
   81,684x = 15,314,062,500
5. Step 5: Solve for x
   x = 15,314,062,500/81,684
6. Step 6: Final answer
   x = 187,479.34