Finding the Third Proportional to 308,840 and 464,002

Step by Step Solution

1. Step 1: Write the proportion equation
   308,840 : 464,002 = 464,002 : x
2. Step 2: Convert to fraction form
   308,840/464,002 = 464,002/x
3. Step 3: Cross multiply
   308,840x = 464,002 × 464,002
4. Step 4: Simplify right side
   308,840x = 215,297,856,004
5. Step 5: Solve for x
   x = 215,297,856,004/308,840
6. Step 6: Final answer
   x = 697,117.78