Finding the Third Proportional to 146,463 and 222,156

Step by Step Solution

1. Step 1: Write the proportion equation
   146,463 : 222,156 = 222,156 : x
2. Step 2: Convert to fraction form
   146,463/222,156 = 222,156/x
3. Step 3: Cross multiply
   146,463x = 222,156 × 222,156
4. Step 4: Simplify right side
   146,463x = 49,353,288,336
5. Step 5: Solve for x
   x = 49,353,288,336/146,463
6. Step 6: Final answer
   x = 336,967.62