Finding the Third Proportional to 78,012 and 117,720

Step by Step Solution

1. Step 1: Write the proportion equation
   78,012 : 117,720 = 117,720 : x
2. Step 2: Convert to fraction form
   78,012/117,720 = 117,720/x
3. Step 3: Cross multiply
   78,012x = 117,720 × 117,720
4. Step 4: Simplify right side
   78,012x = 13,857,998,400
5. Step 5: Solve for x
   x = 13,857,998,400/78,012
6. Step 6: Final answer
   x = 177,639.32