Finding the Third Proportional to 172,544 and 231,882

Step by Step Solution

1. Step 1: Write the proportion equation
   172,544 : 231,882 = 231,882 : x
2. Step 2: Convert to fraction form
   172,544/231,882 = 231,882/x
3. Step 3: Cross multiply
   172,544x = 231,882 × 231,882
4. Step 4: Simplify right side
   172,544x = 53,769,261,924
5. Step 5: Solve for x
   x = 53,769,261,924/172,544
6. Step 6: Final answer
   x = 311,626.38