Finding the Third Proportional to 150,411 and 334,443

Step by Step Solution

1. Step 1: Write the proportion equation
   150,411 : 334,443 = 334,443 : x
2. Step 2: Convert to fraction form
   150,411/334,443 = 334,443/x
3. Step 3: Cross multiply
   150,411x = 334,443 × 334,443
4. Step 4: Simplify right side
   150,411x = 111,852,120,249
5. Step 5: Solve for x
   x = 111,852,120,249/150,411
6. Step 6: Final answer
   x = 743,643.22