Finding the Third Proportional to 78,878.25 and 119,142

Step by Step Solution

1. Step 1: Write the proportion equation
   78,878.25 : 119,142 = 119,142 : x
2. Step 2: Convert to fraction form
   78,878.25/119,142 = 119,142/x
3. Step 3: Cross multiply
   78,878.25x = 119,142 × 119,142
4. Step 4: Simplify right side
   78,878.25x = 14,194,816,164
5. Step 5: Solve for x
   x = 14,194,816,164/78,878.25
6. Step 6: Final answer
   x = 179,958.56