Finding the Third Proportional to 83,736 and 119,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,736 : 119,377.50 = 119,377.50 : x
2. Step 2: Convert to fraction form
   83,736/119,377.50 = 119,377.50/x
3. Step 3: Cross multiply
   83,736x = 119,377.50 × 119,377.50
4. Step 4: Simplify right side
   83,736x = 14,250,987,506.25
5. Step 5: Solve for x
   x = 14,250,987,506.25/83,736
6. Step 6: Final answer
   x = 170,189.49