Finding the Third Proportional to 81,518 and 123,100

Step by Step Solution

1. Step 1: Write the proportion equation
   81,518 : 123,100 = 123,100 : x
2. Step 2: Convert to fraction form
   81,518/123,100 = 123,100/x
3. Step 3: Cross multiply
   81,518x = 123,100 × 123,100
4. Step 4: Simplify right side
   81,518x = 15,153,610,000
5. Step 5: Solve for x
   x = 15,153,610,000/81,518
6. Step 6: Final answer
   x = 185,892.81