Finding the Third Proportional to 152,350 and 231,768

Step by Step Solution

1. Step 1: Write the proportion equation
   152,350 : 231,768 = 231,768 : x
2. Step 2: Convert to fraction form
   152,350/231,768 = 231,768/x
3. Step 3: Cross multiply
   152,350x = 231,768 × 231,768
4. Step 4: Simplify right side
   152,350x = 53,716,405,824
5. Step 5: Solve for x
   x = 53,716,405,824/152,350
6. Step 6: Final answer
   x = 352,585.53