Finding the Third Proportional to 185,440.50 and 397,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,440.50 : 397,123.50 = 397,123.50 : x
2. Step 2: Convert to fraction form
   185,440.50/397,123.50 = 397,123.50/x
3. Step 3: Cross multiply
   185,440.50x = 397,123.50 × 397,123.50
4. Step 4: Simplify right side
   185,440.50x = 157,707,074,252.25
5. Step 5: Solve for x
   x = 157,707,074,252.25/185,440.50
6. Step 6: Final answer
   x = 850,445.69