Finding the Third Proportional to 147,888 and 229,419

Step by Step Solution

1. Step 1: Write the proportion equation
   147,888 : 229,419 = 229,419 : x
2. Step 2: Convert to fraction form
   147,888/229,419 = 229,419/x
3. Step 3: Cross multiply
   147,888x = 229,419 × 229,419
4. Step 4: Simplify right side
   147,888x = 52,633,077,561
5. Step 5: Solve for x
   x = 52,633,077,561/147,888
6. Step 6: Final answer
   x = 355,898.23