Finding the Third Proportional to 103,530 and 221,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,530 : 221,824.50 = 221,824.50 : x
2. Step 2: Convert to fraction form
   103,530/221,824.50 = 221,824.50/x
3. Step 3: Cross multiply
   103,530x = 221,824.50 × 221,824.50
4. Step 4: Simplify right side
   103,530x = 49,206,108,800.25
5. Step 5: Solve for x
   x = 49,206,108,800.25/103,530
6. Step 6: Final answer
   x = 475,283.58