Finding the Third Proportional to 333,364 and 500,082

Step by Step Solution

1. Step 1: Write the proportion equation
   333,364 : 500,082 = 500,082 : x
2. Step 2: Convert to fraction form
   333,364/500,082 = 500,082/x
3. Step 3: Cross multiply
   333,364x = 500,082 × 500,082
4. Step 4: Simplify right side
   333,364x = 250,082,006,724
5. Step 5: Solve for x
   x = 250,082,006,724/333,364
6. Step 6: Final answer
   x = 750,177.00