Finding the Third Proportional to 359,768 and 779,152

Step by Step Solution

1. Step 1: Write the proportion equation
   359,768 : 779,152 = 779,152 : x
2. Step 2: Convert to fraction form
   359,768/779,152 = 779,152/x
3. Step 3: Cross multiply
   359,768x = 779,152 × 779,152
4. Step 4: Simplify right side
   359,768x = 607,077,839,104
5. Step 5: Solve for x
   x = 607,077,839,104/359,768
6. Step 6: Final answer
   x = 1,687,414.78