Finding the Third Proportional to 325,290 and 507,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   325,290 : 507,609.50 = 507,609.50 : x
2. Step 2: Convert to fraction form
   325,290/507,609.50 = 507,609.50/x
3. Step 3: Cross multiply
   325,290x = 507,609.50 × 507,609.50
4. Step 4: Simplify right side
   325,290x = 257,667,404,490.25
5. Step 5: Solve for x
   x = 257,667,404,490.25/325,290
6. Step 6: Final answer
   x = 792,115.97