Finding the Third Proportional to 427,734 and 598,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   427,734 : 598,002.75 = 598,002.75 : x
2. Step 2: Convert to fraction form
   427,734/598,002.75 = 598,002.75/x
3. Step 3: Cross multiply
   427,734x = 598,002.75 × 598,002.75
4. Step 4: Simplify right side
   427,734x = 357,607,289,007.56
5. Step 5: Solve for x
   x = 357,607,289,007.56/427,734
6. Step 6: Final answer
   x = 836,050.65