Finding the Third Proportional to 102,952 and 222,144

Step by Step Solution

1. Step 1: Write the proportion equation
   102,952 : 222,144 = 222,144 : x
2. Step 2: Convert to fraction form
   102,952/222,144 = 222,144/x
3. Step 3: Cross multiply
   102,952x = 222,144 × 222,144
4. Step 4: Simplify right side
   102,952x = 49,347,956,736
5. Step 5: Solve for x
   x = 49,347,956,736/102,952
6. Step 6: Final answer
   x = 479,329.75