Finding the Third Proportional to 111,919.50 and 165,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,919.50 : 165,766.50 = 165,766.50 : x
2. Step 2: Convert to fraction form
   111,919.50/165,766.50 = 165,766.50/x
3. Step 3: Cross multiply
   111,919.50x = 165,766.50 × 165,766.50
4. Step 4: Simplify right side
   111,919.50x = 27,478,532,522.25
5. Step 5: Solve for x
   x = 27,478,532,522.25/111,919.50
6. Step 6: Final answer
   x = 245,520.51