Finding the Third Proportional to 102,691.50 and 222,231

Step by Step Solution

1. Step 1: Write the proportion equation
   102,691.50 : 222,231 = 222,231 : x
2. Step 2: Convert to fraction form
   102,691.50/222,231 = 222,231/x
3. Step 3: Cross multiply
   102,691.50x = 222,231 × 222,231
4. Step 4: Simplify right side
   102,691.50x = 49,386,617,361
5. Step 5: Solve for x
   x = 49,386,617,361/102,691.50
6. Step 6: Final answer
   x = 480,922.15