Finding the Third Proportional to 158,400 and 347,040

Step by Step Solution

1. Step 1: Write the proportion equation
   158,400 : 347,040 = 347,040 : x
2. Step 2: Convert to fraction form
   158,400/347,040 = 347,040/x
3. Step 3: Cross multiply
   158,400x = 347,040 × 347,040
4. Step 4: Simplify right side
   158,400x = 120,436,761,600
5. Step 5: Solve for x
   x = 120,436,761,600/158,400
6. Step 6: Final answer
   x = 760,333.09