Finding the Third Proportional to 111,229.50 and 229,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,229.50 : 229,816.50 = 229,816.50 : x
2. Step 2: Convert to fraction form
   111,229.50/229,816.50 = 229,816.50/x
3. Step 3: Cross multiply
   111,229.50x = 229,816.50 × 229,816.50
4. Step 4: Simplify right side
   111,229.50x = 52,815,623,672.25
5. Step 5: Solve for x
   x = 52,815,623,672.25/111,229.50
6. Step 6: Final answer
   x = 474,834.68