Finding the Third Proportional to 102,234 and 222,468

Step by Step Solution

1. Step 1: Write the proportion equation
   102,234 : 222,468 = 222,468 : x
2. Step 2: Convert to fraction form
   102,234/222,468 = 222,468/x
3. Step 3: Cross multiply
   102,234x = 222,468 × 222,468
4. Step 4: Simplify right side
   102,234x = 49,492,011,024
5. Step 5: Solve for x
   x = 49,492,011,024/102,234
6. Step 6: Final answer
   x = 484,105.20