Finding the Third Proportional to 78,048 and 168,704

Step by Step Solution

1. Step 1: Write the proportion equation
   78,048 : 168,704 = 168,704 : x
2. Step 2: Convert to fraction form
   78,048/168,704 = 168,704/x
3. Step 3: Cross multiply
   78,048x = 168,704 × 168,704
4. Step 4: Simplify right side
   78,048x = 28,461,039,616
5. Step 5: Solve for x
   x = 28,461,039,616/78,048
6. Step 6: Final answer
   x = 364,660.72