Finding the Third Proportional to 268,223 and 402,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,223 : 402,340.50 = 402,340.50 : x
2. Step 2: Convert to fraction form
   268,223/402,340.50 = 402,340.50/x
3. Step 3: Cross multiply
   268,223x = 402,340.50 × 402,340.50
4. Step 4: Simplify right side
   268,223x = 161,877,877,940.25
5. Step 5: Solve for x
   x = 161,877,877,940.25/268,223
6. Step 6: Final answer
   x = 603,519.75