Finding the Third Proportional to 78,843 and 119,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,843 : 119,080.50 = 119,080.50 : x
2. Step 2: Convert to fraction form
   78,843/119,080.50 = 119,080.50/x
3. Step 3: Cross multiply
   78,843x = 119,080.50 × 119,080.50
4. Step 4: Simplify right side
   78,843x = 14,180,165,480.25
5. Step 5: Solve for x
   x = 14,180,165,480.25/78,843
6. Step 6: Final answer
   x = 179,853.20