Finding the Third Proportional to 203,970 and 286,727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   203,970 : 286,727.25 = 286,727.25 : x
2. Step 2: Convert to fraction form
   203,970/286,727.25 = 286,727.25/x
3. Step 3: Cross multiply
   203,970x = 286,727.25 × 286,727.25
4. Step 4: Simplify right side
   203,970x = 82,212,515,892.56
5. Step 5: Solve for x
   x = 82,212,515,892.56/203,970
6. Step 6: Final answer
   x = 403,061.80