Finding the Third Proportional to 81,842.50 and 122,874

Step by Step Solution

1. Step 1: Write the proportion equation
   81,842.50 : 122,874 = 122,874 : x
2. Step 2: Convert to fraction form
   81,842.50/122,874 = 122,874/x
3. Step 3: Cross multiply
   81,842.50x = 122,874 × 122,874
4. Step 4: Simplify right side
   81,842.50x = 15,098,019,876
5. Step 5: Solve for x
   x = 15,098,019,876/81,842.50
6. Step 6: Final answer
   x = 184,476.52