Finding the Third Proportional to 152,674 and 233,544

Step by Step Solution

1. Step 1: Write the proportion equation
   152,674 : 233,544 = 233,544 : x
2. Step 2: Convert to fraction form
   152,674/233,544 = 233,544/x
3. Step 3: Cross multiply
   152,674x = 233,544 × 233,544
4. Step 4: Simplify right side
   152,674x = 54,542,799,936
5. Step 5: Solve for x
   x = 54,542,799,936/152,674
6. Step 6: Final answer
   x = 357,250.09