Finding the Third Proportional to 152,469 and 334,382

Step by Step Solution

1. Step 1: Write the proportion equation
   152,469 : 334,382 = 334,382 : x
2. Step 2: Convert to fraction form
   152,469/334,382 = 334,382/x
3. Step 3: Cross multiply
   152,469x = 334,382 × 334,382
4. Step 4: Simplify right side
   152,469x = 111,811,321,924
5. Step 5: Solve for x
   x = 111,811,321,924/152,469
6. Step 6: Final answer
   x = 733,338.07