Finding the Third Proportional to 123,313 and 268,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,313 : 268,942.50 = 268,942.50 : x
2. Step 2: Convert to fraction form
   123,313/268,942.50 = 268,942.50/x
3. Step 3: Cross multiply
   123,313x = 268,942.50 × 268,942.50
4. Step 4: Simplify right side
   123,313x = 72,330,068,306.25
5. Step 5: Solve for x
   x = 72,330,068,306.25/123,313
6. Step 6: Final answer
   x = 586,556.72