Finding the Third Proportional to 102,320 and 223,600

Step by Step Solution

1. Step 1: Write the proportion equation
   102,320 : 223,600 = 223,600 : x
2. Step 2: Convert to fraction form
   102,320/223,600 = 223,600/x
3. Step 3: Cross multiply
   102,320x = 223,600 × 223,600
4. Step 4: Simplify right side
   102,320x = 49,996,960,000
5. Step 5: Solve for x
   x = 49,996,960,000/102,320
6. Step 6: Final answer
   x = 488,633.31