Finding the Third Proportional to 99,867 and 219,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,867 : 219,133.50 = 219,133.50 : x
2. Step 2: Convert to fraction form
   99,867/219,133.50 = 219,133.50/x
3. Step 3: Cross multiply
   99,867x = 219,133.50 × 219,133.50
4. Step 4: Simplify right side
   99,867x = 48,019,490,822.25
5. Step 5: Solve for x
   x = 48,019,490,822.25/99,867
6. Step 6: Final answer
   x = 480,834.42