Finding the Third Proportional to 152,486 and 334,510

Step by Step Solution

1. Step 1: Write the proportion equation
   152,486 : 334,510 = 334,510 : x
2. Step 2: Convert to fraction form
   152,486/334,510 = 334,510/x
3. Step 3: Cross multiply
   152,486x = 334,510 × 334,510
4. Step 4: Simplify right side
   152,486x = 111,896,940,100
5. Step 5: Solve for x
   x = 111,896,940,100/152,486
6. Step 6: Final answer
   x = 733,817.79