Finding the Third Proportional to 333,686 and 787,366

Step by Step Solution

1. Step 1: Write the proportion equation
   333,686 : 787,366 = 787,366 : x
2. Step 2: Convert to fraction form
   333,686/787,366 = 787,366/x
3. Step 3: Cross multiply
   333,686x = 787,366 × 787,366
4. Step 4: Simplify right side
   333,686x = 619,945,217,956
5. Step 5: Solve for x
   x = 619,945,217,956/333,686
6. Step 6: Final answer
   x = 1,857,870.03