Finding the Third Proportional to 78,240 and 168,648

Step by Step Solution

1. Step 1: Write the proportion equation
   78,240 : 168,648 = 168,648 : x
2. Step 2: Convert to fraction form
   78,240/168,648 = 168,648/x
3. Step 3: Cross multiply
   78,240x = 168,648 × 168,648
4. Step 4: Simplify right side
   78,240x = 28,442,147,904
5. Step 5: Solve for x
   x = 28,442,147,904/78,240
6. Step 6: Final answer
   x = 363,524.39