Finding the Third Proportional to 78,867 and 122,168.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,867 : 122,168.25 = 122,168.25 : x
2. Step 2: Convert to fraction form
   78,867/122,168.25 = 122,168.25/x
3. Step 3: Cross multiply
   78,867x = 122,168.25 × 122,168.25
4. Step 4: Simplify right side
   78,867x = 14,925,081,308.06
5. Step 5: Solve for x
   x = 14,925,081,308.06/78,867
6. Step 6: Final answer
   x = 189,243.68