Finding the Third Proportional to 99,020.50 and 213,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,020.50 : 213,823.50 = 213,823.50 : x
2. Step 2: Convert to fraction form
   99,020.50/213,823.50 = 213,823.50/x
3. Step 3: Cross multiply
   99,020.50x = 213,823.50 × 213,823.50
4. Step 4: Simplify right side
   99,020.50x = 45,720,489,152.25
5. Step 5: Solve for x
   x = 45,720,489,152.25/99,020.50
6. Step 6: Final answer
   x = 461,727.51