Finding the Third Proportional to 268,815 and 397,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,815 : 397,093.50 = 397,093.50 : x
2. Step 2: Convert to fraction form
   268,815/397,093.50 = 397,093.50/x
3. Step 3: Cross multiply
   268,815x = 397,093.50 × 397,093.50
4. Step 4: Simplify right side
   268,815x = 157,683,247,742.25
5. Step 5: Solve for x
   x = 157,683,247,742.25/268,815
6. Step 6: Final answer
   x = 586,586.49