Finding the Third Proportional to 578,836 and 894,496

Step by Step Solution

1. Step 1: Write the proportion equation
   578,836 : 894,496 = 894,496 : x
2. Step 2: Convert to fraction form
   578,836/894,496 = 894,496/x
3. Step 3: Cross multiply
   578,836x = 894,496 × 894,496
4. Step 4: Simplify right side
   578,836x = 800,123,094,016
5. Step 5: Solve for x
   x = 800,123,094,016/578,836
6. Step 6: Final answer
   x = 1,382,296.70