Finding the Third Proportional to 152,382 and 334,293

Step by Step Solution

1. Step 1: Write the proportion equation
   152,382 : 334,293 = 334,293 : x
2. Step 2: Convert to fraction form
   152,382/334,293 = 334,293/x
3. Step 3: Cross multiply
   152,382x = 334,293 × 334,293
4. Step 4: Simplify right side
   152,382x = 111,751,809,849
5. Step 5: Solve for x
   x = 111,751,809,849/152,382
6. Step 6: Final answer
   x = 733,366.21