Finding the Third Proportional to 205,718 and 272,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,718 : 272,965.50 = 272,965.50 : x
2. Step 2: Convert to fraction form
   205,718/272,965.50 = 272,965.50/x
3. Step 3: Cross multiply
   205,718x = 272,965.50 × 272,965.50
4. Step 4: Simplify right side
   205,718x = 74,510,164,190.25
5. Step 5: Solve for x
   x = 74,510,164,190.25/205,718
6. Step 6: Final answer
   x = 362,195.65