Finding the Third Proportional to 205,713.50 and 272,960

Step by Step Solution

1. Step 1: Write the proportion equation
   205,713.50 : 272,960 = 272,960 : x
2. Step 2: Convert to fraction form
   205,713.50/272,960 = 272,960/x
3. Step 3: Cross multiply
   205,713.50x = 272,960 × 272,960
4. Step 4: Simplify right side
   205,713.50x = 74,507,161,600
5. Step 5: Solve for x
   x = 74,507,161,600/205,713.50
6. Step 6: Final answer
   x = 362,188.97