Finding the Third Proportional to 205,717 and 272,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,717 : 272,964.50 = 272,964.50 : x
2. Step 2: Convert to fraction form
   205,717/272,964.50 = 272,964.50/x
3. Step 3: Cross multiply
   205,717x = 272,964.50 × 272,964.50
4. Step 4: Simplify right side
   205,717x = 74,509,618,260.25
5. Step 5: Solve for x
   x = 74,509,618,260.25/205,717
6. Step 6: Final answer
   x = 362,194.75