Finding the Third Proportional to 269,142 and 398,501

Step by Step Solution

1. Step 1: Write the proportion equation
   269,142 : 398,501 = 398,501 : x
2. Step 2: Convert to fraction form
   269,142/398,501 = 398,501/x
3. Step 3: Cross multiply
   269,142x = 398,501 × 398,501
4. Step 4: Simplify right side
   269,142x = 158,803,047,001
5. Step 5: Solve for x
   x = 158,803,047,001/269,142
6. Step 6: Final answer
   x = 590,034.43