Finding the Third Proportional to 333,945 and 517,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,945 : 517,171.50 = 517,171.50 : x
2. Step 2: Convert to fraction form
   333,945/517,171.50 = 517,171.50/x
3. Step 3: Cross multiply
   333,945x = 517,171.50 × 517,171.50
4. Step 4: Simplify right side
   333,945x = 267,466,360,412.25
5. Step 5: Solve for x
   x = 267,466,360,412.25/333,945
6. Step 6: Final answer
   x = 800,929.38