Finding the Third Proportional to 268,169 and 397,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,169 : 397,614.50 = 397,614.50 : x
2. Step 2: Convert to fraction form
   268,169/397,614.50 = 397,614.50/x
3. Step 3: Cross multiply
   268,169x = 397,614.50 × 397,614.50
4. Step 4: Simplify right side
   268,169x = 158,097,290,610.25
5. Step 5: Solve for x
   x = 158,097,290,610.25/268,169
6. Step 6: Final answer
   x = 589,543.50