Finding the Third Proportional to 99,022.50 and 213,827.34

Step by Step Solution

1. Step 1: Write the proportion equation
   99,022.50 : 213,827.34 = 213,827.34 : x
2. Step 2: Convert to fraction form
   99,022.50/213,827.34 = 213,827.34/x
3. Step 3: Cross multiply
   99,022.50x = 213,827.34 × 213,827.34
4. Step 4: Simplify right side
   99,022.50x = 45,722,132,935.18
5. Step 5: Solve for x
   x = 45,722,132,935.18/99,022.50
6. Step 6: Final answer
   x = 461,734.79