Finding the Third Proportional to 150,396 and 334,416

Step by Step Solution

1. Step 1: Write the proportion equation
   150,396 : 334,416 = 334,416 : x
2. Step 2: Convert to fraction form
   150,396/334,416 = 334,416/x
3. Step 3: Cross multiply
   150,396x = 334,416 × 334,416
4. Step 4: Simplify right side
   150,396x = 111,834,061,056
5. Step 5: Solve for x
   x = 111,834,061,056/150,396
6. Step 6: Final answer
   x = 743,597.31