Finding the Third Proportional to 78,784 and 168,642

Step by Step Solution

1. Step 1: Write the proportion equation
   78,784 : 168,642 = 168,642 : x
2. Step 2: Convert to fraction form
   78,784/168,642 = 168,642/x
3. Step 3: Cross multiply
   78,784x = 168,642 × 168,642
4. Step 4: Simplify right side
   78,784x = 28,440,124,164
5. Step 5: Solve for x
   x = 28,440,124,164/78,784
6. Step 6: Final answer
   x = 360,988.58