Finding the Third Proportional to 398,794 and 612,978

Step by Step Solution

1. Step 1: Write the proportion equation
   398,794 : 612,978 = 612,978 : x
2. Step 2: Convert to fraction form
   398,794/612,978 = 612,978/x
3. Step 3: Cross multiply
   398,794x = 612,978 × 612,978
4. Step 4: Simplify right side
   398,794x = 375,742,028,484
5. Step 5: Solve for x
   x = 375,742,028,484/398,794
6. Step 6: Final answer
   x = 942,195.79