Finding the Third Proportional to 325,983 and 498,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   325,983 : 498,661.50 = 498,661.50 : x
2. Step 2: Convert to fraction form
   325,983/498,661.50 = 498,661.50/x
3. Step 3: Cross multiply
   325,983x = 498,661.50 × 498,661.50
4. Step 4: Simplify right side
   325,983x = 248,663,291,582.25
5. Step 5: Solve for x
   x = 248,663,291,582.25/325,983
6. Step 6: Final answer
   x = 762,810.61