Finding the Third Proportional to 108,766.50 and 168,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,766.50 : 168,082.50 = 168,082.50 : x
2. Step 2: Convert to fraction form
   108,766.50/168,082.50 = 168,082.50/x
3. Step 3: Cross multiply
   108,766.50x = 168,082.50 × 168,082.50
4. Step 4: Simplify right side
   108,766.50x = 28,251,726,806.25
5. Step 5: Solve for x
   x = 28,251,726,806.25/108,766.50
6. Step 6: Final answer
   x = 259,746.58