Finding the Third Proportional to 152,743 and 233,058

Step by Step Solution

1. Step 1: Write the proportion equation
   152,743 : 233,058 = 233,058 : x
2. Step 2: Convert to fraction form
   152,743/233,058 = 233,058/x
3. Step 3: Cross multiply
   152,743x = 233,058 × 233,058
4. Step 4: Simplify right side
   152,743x = 54,316,031,364
5. Step 5: Solve for x
   x = 54,316,031,364/152,743
6. Step 6: Final answer
   x = 355,604.06