Finding the Third Proportional to 152,424 and 231,676

Step by Step Solution

1. Step 1: Write the proportion equation
   152,424 : 231,676 = 231,676 : x
2. Step 2: Convert to fraction form
   152,424/231,676 = 231,676/x
3. Step 3: Cross multiply
   152,424x = 231,676 × 231,676
4. Step 4: Simplify right side
   152,424x = 53,673,768,976
5. Step 5: Solve for x
   x = 53,673,768,976/152,424
6. Step 6: Final answer
   x = 352,134.63