Finding the Third Proportional to 222,724 and 341,142

Step by Step Solution

1. Step 1: Write the proportion equation
   222,724 : 341,142 = 341,142 : x
2. Step 2: Convert to fraction form
   222,724/341,142 = 341,142/x
3. Step 3: Cross multiply
   222,724x = 341,142 × 341,142
4. Step 4: Simplify right side
   222,724x = 116,377,864,164
5. Step 5: Solve for x
   x = 116,377,864,164/222,724
6. Step 6: Final answer
   x = 522,520.54