Finding the Third Proportional to 81,893 and 123,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,893 : 123,416.50 = 123,416.50 : x
2. Step 2: Convert to fraction form
   81,893/123,416.50 = 123,416.50/x
3. Step 3: Cross multiply
   81,893x = 123,416.50 × 123,416.50
4. Step 4: Simplify right side
   81,893x = 15,231,632,472.25
5. Step 5: Solve for x
   x = 15,231,632,472.25/81,893
6. Step 6: Final answer
   x = 185,994.32