Finding the Third Proportional to 427,744.50 and 598,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   427,744.50 : 598,009.50 = 598,009.50 : x
2. Step 2: Convert to fraction form
   427,744.50/598,009.50 = 598,009.50/x
3. Step 3: Cross multiply
   427,744.50x = 598,009.50 × 598,009.50
4. Step 4: Simplify right side
   427,744.50x = 357,615,362,090.25
5. Step 5: Solve for x
   x = 357,615,362,090.25/427,744.50
6. Step 6: Final answer
   x = 836,049.00