Finding the Third Proportional to 265,855.50 and 398,978

Step by Step Solution

1. Step 1: Write the proportion equation
   265,855.50 : 398,978 = 398,978 : x
2. Step 2: Convert to fraction form
   265,855.50/398,978 = 398,978/x
3. Step 3: Cross multiply
   265,855.50x = 398,978 × 398,978
4. Step 4: Simplify right side
   265,855.50x = 159,183,444,484
5. Step 5: Solve for x
   x = 159,183,444,484/265,855.50
6. Step 6: Final answer
   x = 598,759.27