Finding the Third Proportional to 99,019.50 and 213,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,019.50 : 213,822.50 = 213,822.50 : x
2. Step 2: Convert to fraction form
   99,019.50/213,822.50 = 213,822.50/x
3. Step 3: Cross multiply
   99,019.50x = 213,822.50 × 213,822.50
4. Step 4: Simplify right side
   99,019.50x = 45,720,061,506.25
5. Step 5: Solve for x
   x = 45,720,061,506.25/99,019.50
6. Step 6: Final answer
   x = 461,727.86