Finding the Third Proportional to 56,206.50 and 122,766

Step by Step Solution

1. Step 1: Write the proportion equation
   56,206.50 : 122,766 = 122,766 : x
2. Step 2: Convert to fraction form
   56,206.50/122,766 = 122,766/x
3. Step 3: Cross multiply
   56,206.50x = 122,766 × 122,766
4. Step 4: Simplify right side
   56,206.50x = 15,071,490,756
5. Step 5: Solve for x
   x = 15,071,490,756/56,206.50
6. Step 6: Final answer
   x = 268,144.98