Finding the Third Proportional to 140,904 and 286,727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   140,904 : 286,727.25 = 286,727.25 : x
2. Step 2: Convert to fraction form
   140,904/286,727.25 = 286,727.25/x
3. Step 3: Cross multiply
   140,904x = 286,727.25 × 286,727.25
4. Step 4: Simplify right side
   140,904x = 82,212,515,892.56
5. Step 5: Solve for x
   x = 82,212,515,892.56/140,904
6. Step 6: Final answer
   x = 583,464.74