Finding the Third Proportional to 326,142 and 498,939.75

Step by Step Solution

1. Step 1: Write the proportion equation
   326,142 : 498,939.75 = 498,939.75 : x
2. Step 2: Convert to fraction form
   326,142/498,939.75 = 498,939.75/x
3. Step 3: Cross multiply
   326,142x = 498,939.75 × 498,939.75
4. Step 4: Simplify right side
   326,142x = 248,940,874,130.06
5. Step 5: Solve for x
   x = 248,940,874,130.06/326,142
6. Step 6: Final answer
   x = 763,289.84