Finding the Third Proportional to 333,300 and 516,150

Step by Step Solution

1. Step 1: Write the proportion equation
   333,300 : 516,150 = 516,150 : x
2. Step 2: Convert to fraction form
   333,300/516,150 = 516,150/x
3. Step 3: Cross multiply
   333,300x = 516,150 × 516,150
4. Step 4: Simplify right side
   333,300x = 266,410,822,500
5. Step 5: Solve for x
   x = 266,410,822,500/333,300
6. Step 6: Final answer
   x = 799,312.40