Finding the Third Proportional to 147,744 and 229,188

Step by Step Solution

1. Step 1: Write the proportion equation
   147,744 : 229,188 = 229,188 : x
2. Step 2: Convert to fraction form
   147,744/229,188 = 229,188/x
3. Step 3: Cross multiply
   147,744x = 229,188 × 229,188
4. Step 4: Simplify right side
   147,744x = 52,527,139,344
5. Step 5: Solve for x
   x = 52,527,139,344/147,744
6. Step 6: Final answer
   x = 355,528.07