Finding the Third Proportional to 144,486 and 222,358

Step by Step Solution

1. Step 1: Write the proportion equation
   144,486 : 222,358 = 222,358 : x
2. Step 2: Convert to fraction form
   144,486/222,358 = 222,358/x
3. Step 3: Cross multiply
   144,486x = 222,358 × 222,358
4. Step 4: Simplify right side
   144,486x = 49,443,080,164
5. Step 5: Solve for x
   x = 49,443,080,164/144,486
6. Step 6: Final answer
   x = 342,199.80