Finding the Third Proportional to 367,200 and 778,496

Step by Step Solution

1. Step 1: Write the proportion equation
   367,200 : 778,496 = 778,496 : x
2. Step 2: Convert to fraction form
   367,200/778,496 = 778,496/x
3. Step 3: Cross multiply
   367,200x = 778,496 × 778,496
4. Step 4: Simplify right side
   367,200x = 606,056,022,016
5. Step 5: Solve for x
   x = 606,056,022,016/367,200
6. Step 6: Final answer
   x = 1,650,479.36