Finding the Third Proportional to 78,544 and 118,960

Step by Step Solution

1. Step 1: Write the proportion equation
   78,544 : 118,960 = 118,960 : x
2. Step 2: Convert to fraction form
   78,544/118,960 = 118,960/x
3. Step 3: Cross multiply
   78,544x = 118,960 × 118,960
4. Step 4: Simplify right side
   78,544x = 14,151,481,600
5. Step 5: Solve for x
   x = 14,151,481,600/78,544
6. Step 6: Final answer
   x = 180,172.66