Finding the Third Proportional to 268,731 and 406,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,731 : 406,570.50 = 406,570.50 : x
2. Step 2: Convert to fraction form
   268,731/406,570.50 = 406,570.50/x
3. Step 3: Cross multiply
   268,731x = 406,570.50 × 406,570.50
4. Step 4: Simplify right side
   268,731x = 165,299,571,470.25
5. Step 5: Solve for x
   x = 165,299,571,470.25/268,731
6. Step 6: Final answer
   x = 615,111.66