Finding the Third Proportional to 102,230 and 216,610

Step by Step Solution

1. Step 1: Write the proportion equation
   102,230 : 216,610 = 216,610 : x
2. Step 2: Convert to fraction form
   102,230/216,610 = 216,610/x
3. Step 3: Cross multiply
   102,230x = 216,610 × 216,610
4. Step 4: Simplify right side
   102,230x = 46,919,892,100
5. Step 5: Solve for x
   x = 46,919,892,100/102,230
6. Step 6: Final answer
   x = 458,964.02