Finding the Third Proportional to 333,301.50 and 516,152.25

Step by Step Solution

1. Step 1: Write the proportion equation
   333,301.50 : 516,152.25 = 516,152.25 : x
2. Step 2: Convert to fraction form
   333,301.50/516,152.25 = 516,152.25/x
3. Step 3: Cross multiply
   333,301.50x = 516,152.25 × 516,152.25
4. Step 4: Simplify right side
   333,301.50x = 266,413,145,180.06
5. Step 5: Solve for x
   x = 266,413,145,180.06/333,301.50
6. Step 6: Final answer
   x = 799,315.77