Finding the Third Proportional to 152,532 and 231,908

Step by Step Solution

1. Step 1: Write the proportion equation
   152,532 : 231,908 = 231,908 : x
2. Step 2: Convert to fraction form
   152,532/231,908 = 231,908/x
3. Step 3: Cross multiply
   152,532x = 231,908 × 231,908
4. Step 4: Simplify right side
   152,532x = 53,781,320,464
5. Step 5: Solve for x
   x = 53,781,320,464/152,532
6. Step 6: Final answer
   x = 352,590.41