Finding the Third Proportional to 147,650 and 223,238

Step by Step Solution

1. Step 1: Write the proportion equation
   147,650 : 223,238 = 223,238 : x
2. Step 2: Convert to fraction form
   147,650/223,238 = 223,238/x
3. Step 3: Cross multiply
   147,650x = 223,238 × 223,238
4. Step 4: Simplify right side
   147,650x = 49,835,204,644
5. Step 5: Solve for x
   x = 49,835,204,644/147,650
6. Step 6: Final answer
   x = 337,522.55