Finding the Third Proportional to 325,985 and 498,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   325,985 : 498,665.50 = 498,665.50 : x
2. Step 2: Convert to fraction form
   325,985/498,665.50 = 498,665.50/x
3. Step 3: Cross multiply
   325,985x = 498,665.50 × 498,665.50
4. Step 4: Simplify right side
   325,985x = 248,667,280,890.25
5. Step 5: Solve for x
   x = 248,667,280,890.25/325,985
6. Step 6: Final answer
   x = 762,818.17