Finding the Third Proportional to 99,741 and 218,250

Step by Step Solution

1. Step 1: Write the proportion equation
   99,741 : 218,250 = 218,250 : x
2. Step 2: Convert to fraction form
   99,741/218,250 = 218,250/x
3. Step 3: Cross multiply
   99,741x = 218,250 × 218,250
4. Step 4: Simplify right side
   99,741x = 47,633,062,500
5. Step 5: Solve for x
   x = 47,633,062,500/99,741
6. Step 6: Final answer
   x = 477,567.52