Finding the Third Proportional to 81,998 and 123,250

Step by Step Solution

1. Step 1: Write the proportion equation
   81,998 : 123,250 = 123,250 : x
2. Step 2: Convert to fraction form
   81,998/123,250 = 123,250/x
3. Step 3: Cross multiply
   81,998x = 123,250 × 123,250
4. Step 4: Simplify right side
   81,998x = 15,190,562,500
5. Step 5: Solve for x
   x = 15,190,562,500/81,998
6. Step 6: Final answer
   x = 185,255.28