Finding the Third Proportional to 185,769 and 397,779.75

Step by Step Solution

1. Step 1: Write the proportion equation
   185,769 : 397,779.75 = 397,779.75 : x
2. Step 2: Convert to fraction form
   185,769/397,779.75 = 397,779.75/x
3. Step 3: Cross multiply
   185,769x = 397,779.75 × 397,779.75
4. Step 4: Simplify right side
   185,769x = 158,228,729,510.06
5. Step 5: Solve for x
   x = 158,228,729,510.06/185,769
6. Step 6: Final answer
   x = 851,749.91