Finding the Third Proportional to 185,830.50 and 397,896

Step by Step Solution

1. Step 1: Write the proportion equation
   185,830.50 : 397,896 = 397,896 : x
2. Step 2: Convert to fraction form
   185,830.50/397,896 = 397,896/x
3. Step 3: Cross multiply
   185,830.50x = 397,896 × 397,896
4. Step 4: Simplify right side
   185,830.50x = 158,321,226,816
5. Step 5: Solve for x
   x = 158,321,226,816/185,830.50
6. Step 6: Final answer
   x = 851,965.78