Finding the Third Proportional to 427,801 and 598,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   427,801 : 598,126.50 = 598,126.50 : x
2. Step 2: Convert to fraction form
   427,801/598,126.50 = 598,126.50/x
3. Step 3: Cross multiply
   427,801x = 598,126.50 × 598,126.50
4. Step 4: Simplify right side
   427,801x = 357,755,310,002.25
5. Step 5: Solve for x
   x = 357,755,310,002.25/427,801
6. Step 6: Final answer
   x = 836,265.72