Finding the Third Proportional to 150,386 and 334,396

Step by Step Solution

1. Step 1: Write the proportion equation
   150,386 : 334,396 = 334,396 : x
2. Step 2: Convert to fraction form
   150,386/334,396 = 334,396/x
3. Step 3: Cross multiply
   150,386x = 334,396 × 334,396
4. Step 4: Simplify right side
   150,386x = 111,820,684,816
5. Step 5: Solve for x
   x = 111,820,684,816/150,386
6. Step 6: Final answer
   x = 743,557.81