Finding the Third Proportional to 78,912 and 117,168

Step by Step Solution

1. Step 1: Write the proportion equation
   78,912 : 117,168 = 117,168 : x
2. Step 2: Convert to fraction form
   78,912/117,168 = 117,168/x
3. Step 3: Cross multiply
   78,912x = 117,168 × 117,168
4. Step 4: Simplify right side
   78,912x = 13,728,340,224
5. Step 5: Solve for x
   x = 13,728,340,224/78,912
6. Step 6: Final answer
   x = 173,970.25