Finding the Third Proportional to 102,942 and 220,150

Step by Step Solution

1. Step 1: Write the proportion equation
   102,942 : 220,150 = 220,150 : x
2. Step 2: Convert to fraction form
   102,942/220,150 = 220,150/x
3. Step 3: Cross multiply
   102,942x = 220,150 × 220,150
4. Step 4: Simplify right side
   102,942x = 48,466,022,500
5. Step 5: Solve for x
   x = 48,466,022,500/102,942
6. Step 6: Final answer
   x = 470,809.02