Finding the Third Proportional to 146,738 and 233,419

Step by Step Solution

1. Step 1: Write the proportion equation
   146,738 : 233,419 = 233,419 : x
2. Step 2: Convert to fraction form
   146,738/233,419 = 233,419/x
3. Step 3: Cross multiply
   146,738x = 233,419 × 233,419
4. Step 4: Simplify right side
   146,738x = 54,484,429,561
5. Step 5: Solve for x
   x = 54,484,429,561/146,738
6. Step 6: Final answer
   x = 371,304.16