Finding the Third Proportional to 150,684 and 334,410

Step by Step Solution

1. Step 1: Write the proportion equation
   150,684 : 334,410 = 334,410 : x
2. Step 2: Convert to fraction form
   150,684/334,410 = 334,410/x
3. Step 3: Cross multiply
   150,684x = 334,410 × 334,410
4. Step 4: Simplify right side
   150,684x = 111,830,048,100
5. Step 5: Solve for x
   x = 111,830,048,100/150,684
6. Step 6: Final answer
   x = 742,149.45