Finding the Third Proportional to 175,674 and 380,850

Step by Step Solution

1. Step 1: Write the proportion equation
   175,674 : 380,850 = 380,850 : x
2. Step 2: Convert to fraction form
   175,674/380,850 = 380,850/x
3. Step 3: Cross multiply
   175,674x = 380,850 × 380,850
4. Step 4: Simplify right side
   175,674x = 145,046,722,500
5. Step 5: Solve for x
   x = 145,046,722,500/175,674
6. Step 6: Final answer
   x = 825,658.45