Finding the Third Proportional to 78,368 and 168,048

Step by Step Solution

1. Step 1: Write the proportion equation
   78,368 : 168,048 = 168,048 : x
2. Step 2: Convert to fraction form
   78,368/168,048 = 168,048/x
3. Step 3: Cross multiply
   78,368x = 168,048 × 168,048
4. Step 4: Simplify right side
   78,368x = 28,240,130,304
5. Step 5: Solve for x
   x = 28,240,130,304/78,368
6. Step 6: Final answer
   x = 360,352.83