Finding the Third Proportional to 382,758 and 894,012

Step by Step Solution

1. Step 1: Write the proportion equation
   382,758 : 894,012 = 894,012 : x
2. Step 2: Convert to fraction form
   382,758/894,012 = 894,012/x
3. Step 3: Cross multiply
   382,758x = 894,012 × 894,012
4. Step 4: Simplify right side
   382,758x = 799,257,456,144
5. Step 5: Solve for x
   x = 799,257,456,144/382,758
6. Step 6: Final answer
   x = 2,088,153.50