Finding the Third Proportional to 102,267 and 219,105

Step by Step Solution

1. Step 1: Write the proportion equation
   102,267 : 219,105 = 219,105 : x
2. Step 2: Convert to fraction form
   102,267/219,105 = 219,105/x
3. Step 3: Cross multiply
   102,267x = 219,105 × 219,105
4. Step 4: Simplify right side
   102,267x = 48,007,001,025
5. Step 5: Solve for x
   x = 48,007,001,025/102,267
6. Step 6: Final answer
   x = 469,428.08