Finding the Third Proportional to 320,617 and 500,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,617 : 500,335.50 = 500,335.50 : x
2. Step 2: Convert to fraction form
   320,617/500,335.50 = 500,335.50/x
3. Step 3: Cross multiply
   320,617x = 500,335.50 × 500,335.50
4. Step 4: Simplify right side
   320,617x = 250,335,612,560.25
5. Step 5: Solve for x
   x = 250,335,612,560.25/320,617
6. Step 6: Final answer
   x = 780,793.32