Finding the Third Proportional to 152,406 and 334,256

Step by Step Solution

1. Step 1: Write the proportion equation
   152,406 : 334,256 = 334,256 : x
2. Step 2: Convert to fraction form
   152,406/334,256 = 334,256/x
3. Step 3: Cross multiply
   152,406x = 334,256 × 334,256
4. Step 4: Simplify right side
   152,406x = 111,727,073,536
5. Step 5: Solve for x
   x = 111,727,073,536/152,406
6. Step 6: Final answer
   x = 733,088.42