Finding the Third Proportional to 185,469 and 397,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,469 : 397,175.50 = 397,175.50 : x
2. Step 2: Convert to fraction form
   185,469/397,175.50 = 397,175.50/x
3. Step 3: Cross multiply
   185,469x = 397,175.50 × 397,175.50
4. Step 4: Simplify right side
   185,469x = 157,748,377,800.25
5. Step 5: Solve for x
   x = 157,748,377,800.25/185,469
6. Step 6: Final answer
   x = 850,537.71