Finding the Third Proportional to 427,748 and 598,002

Step by Step Solution

1. Step 1: Write the proportion equation
   427,748 : 598,002 = 598,002 : x
2. Step 2: Convert to fraction form
   427,748/598,002 = 598,002/x
3. Step 3: Cross multiply
   427,748x = 598,002 × 598,002
4. Step 4: Simplify right side
   427,748x = 357,606,392,004
5. Step 5: Solve for x
   x = 357,606,392,004/427,748
6. Step 6: Final answer
   x = 836,021.19