Finding the Third Proportional to 152,940 and 335,256

Step by Step Solution

1. Step 1: Write the proportion equation
   152,940 : 335,256 = 335,256 : x
2. Step 2: Convert to fraction form
   152,940/335,256 = 335,256/x
3. Step 3: Cross multiply
   152,940x = 335,256 × 335,256
4. Step 4: Simplify right side
   152,940x = 112,396,585,536
5. Step 5: Solve for x
   x = 112,396,585,536/152,940
6. Step 6: Final answer
   x = 734,906.40