Finding the Third Proportional to 260,742 and 268,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,742 : 268,093.50 = 268,093.50 : x
2. Step 2: Convert to fraction form
   260,742/268,093.50 = 268,093.50/x
3. Step 3: Cross multiply
   260,742x = 268,093.50 × 268,093.50
4. Step 4: Simplify right side
   260,742x = 71,874,124,742.25
5. Step 5: Solve for x
   x = 71,874,124,742.25/260,742
6. Step 6: Final answer
   x = 275,652.27