Finding the Third Proportional to 102,060 and 222,345

Step by Step Solution

1. Step 1: Write the proportion equation
   102,060 : 222,345 = 222,345 : x
2. Step 2: Convert to fraction form
   102,060/222,345 = 222,345/x
3. Step 3: Cross multiply
   102,060x = 222,345 × 222,345
4. Step 4: Simplify right side
   102,060x = 49,437,299,025
5. Step 5: Solve for x
   x = 49,437,299,025/102,060
6. Step 6: Final answer
   x = 484,394.46