Finding the Third Proportional to 446,788 and 587,238

Step by Step Solution

1. Step 1: Write the proportion equation
   446,788 : 587,238 = 587,238 : x
2. Step 2: Convert to fraction form
   446,788/587,238 = 587,238/x
3. Step 3: Cross multiply
   446,788x = 587,238 × 587,238
4. Step 4: Simplify right side
   446,788x = 344,848,468,644
5. Step 5: Solve for x
   x = 344,848,468,644/446,788
6. Step 6: Final answer
   x = 771,839.15