Finding the Third Proportional to 427,914 and 598,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   427,914 : 598,216.50 = 598,216.50 : x
2. Step 2: Convert to fraction form
   427,914/598,216.50 = 598,216.50/x
3. Step 3: Cross multiply
   427,914x = 598,216.50 × 598,216.50
4. Step 4: Simplify right side
   427,914x = 357,862,980,872.25
5. Step 5: Solve for x
   x = 357,862,980,872.25/427,914
6. Step 6: Final answer
   x = 836,296.50