Finding the Third Proportional to 333,948 and 503,802

Step by Step Solution

1. Step 1: Write the proportion equation
   333,948 : 503,802 = 503,802 : x
2. Step 2: Convert to fraction form
   333,948/503,802 = 503,802/x
3. Step 3: Cross multiply
   333,948x = 503,802 × 503,802
4. Step 4: Simplify right side
   333,948x = 253,816,455,204
5. Step 5: Solve for x
   x = 253,816,455,204/333,948
6. Step 6: Final answer
   x = 760,047.84