Finding the Third Proportional to 152,669 and 233,540

Step by Step Solution

1. Step 1: Write the proportion equation
   152,669 : 233,540 = 233,540 : x
2. Step 2: Convert to fraction form
   152,669/233,540 = 233,540/x
3. Step 3: Cross multiply
   152,669x = 233,540 × 233,540
4. Step 4: Simplify right side
   152,669x = 54,540,931,600
5. Step 5: Solve for x
   x = 54,540,931,600/152,669
6. Step 6: Final answer
   x = 357,249.55