Finding the Third Proportional to 427,920 and 598,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   427,920 : 598,213.50 = 598,213.50 : x
2. Step 2: Convert to fraction form
   427,920/598,213.50 = 598,213.50/x
3. Step 3: Cross multiply
   427,920x = 598,213.50 × 598,213.50
4. Step 4: Simplify right side
   427,920x = 357,859,391,582.25
5. Step 5: Solve for x
   x = 357,859,391,582.25/427,920
6. Step 6: Final answer
   x = 836,276.39