Finding the Third Proportional to 102,132 and 223,200

Step by Step Solution

1. Step 1: Write the proportion equation
   102,132 : 223,200 = 223,200 : x
2. Step 2: Convert to fraction form
   102,132/223,200 = 223,200/x
3. Step 3: Cross multiply
   102,132x = 223,200 × 223,200
4. Step 4: Simplify right side
   102,132x = 49,818,240,000
5. Step 5: Solve for x
   x = 49,818,240,000/102,132
6. Step 6: Final answer
   x = 487,782.87