Finding the Third Proportional to 147,408 and 222,345

Step by Step Solution

1. Step 1: Write the proportion equation
   147,408 : 222,345 = 222,345 : x
2. Step 2: Convert to fraction form
   147,408/222,345 = 222,345/x
3. Step 3: Cross multiply
   147,408x = 222,345 × 222,345
4. Step 4: Simplify right side
   147,408x = 49,437,299,025
5. Step 5: Solve for x
   x = 49,437,299,025/147,408
6. Step 6: Final answer
   x = 335,377.31