Finding the Third Proportional to 268,174 and 397,619.75

Step by Step Solution

1. Step 1: Write the proportion equation
   268,174 : 397,619.75 = 397,619.75 : x
2. Step 2: Convert to fraction form
   268,174/397,619.75 = 397,619.75/x
3. Step 3: Cross multiply
   268,174x = 397,619.75 × 397,619.75
4. Step 4: Simplify right side
   268,174x = 158,101,465,590.06
5. Step 5: Solve for x
   x = 158,101,465,590.06/268,174
6. Step 6: Final answer
   x = 589,548.08