Finding the Third Proportional to 268,755 and 406,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,755 : 406,573.50 = 406,573.50 : x
2. Step 2: Convert to fraction form
   268,755/406,573.50 = 406,573.50/x
3. Step 3: Cross multiply
   268,755x = 406,573.50 × 406,573.50
4. Step 4: Simplify right side
   268,755x = 165,302,010,902.25
5. Step 5: Solve for x
   x = 165,302,010,902.25/268,755
6. Step 6: Final answer
   x = 615,065.81