Finding the Third Proportional to 152,648 and 233,517

Step by Step Solution

1. Step 1: Write the proportion equation
   152,648 : 233,517 = 233,517 : x
2. Step 2: Convert to fraction form
   152,648/233,517 = 233,517/x
3. Step 3: Cross multiply
   152,648x = 233,517 × 233,517
4. Step 4: Simplify right side
   152,648x = 54,530,189,289
5. Step 5: Solve for x
   x = 54,530,189,289/152,648
6. Step 6: Final answer
   x = 357,228.32