Finding the Third Proportional to 333,265.50 and 516,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,265.50 : 516,181.50 = 516,181.50 : x
2. Step 2: Convert to fraction form
   333,265.50/516,181.50 = 516,181.50/x
3. Step 3: Cross multiply
   333,265.50x = 516,181.50 × 516,181.50
4. Step 4: Simplify right side
   333,265.50x = 266,443,340,942.25
5. Step 5: Solve for x
   x = 266,443,340,942.25/333,265.50
6. Step 6: Final answer
   x = 799,492.72