Finding the Third Proportional to 333,777 and 516,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,777 : 516,502.50 = 516,502.50 : x
2. Step 2: Convert to fraction form
   333,777/516,502.50 = 516,502.50/x
3. Step 3: Cross multiply
   333,777x = 516,502.50 × 516,502.50
4. Step 4: Simplify right side
   333,777x = 266,774,832,506.25
5. Step 5: Solve for x
   x = 266,774,832,506.25/333,777
6. Step 6: Final answer
   x = 799,260.68