Finding the Third Proportional to 144,374 and 222,196

Step by Step Solution

1. Step 1: Write the proportion equation
   144,374 : 222,196 = 222,196 : x
2. Step 2: Convert to fraction form
   144,374/222,196 = 222,196/x
3. Step 3: Cross multiply
   144,374x = 222,196 × 222,196
4. Step 4: Simplify right side
   144,374x = 49,371,062,416
5. Step 5: Solve for x
   x = 49,371,062,416/144,374
6. Step 6: Final answer
   x = 341,966.44