Finding the Third Proportional to 200,923 and 293,648

Step by Step Solution

1. Step 1: Write the proportion equation
   200,923 : 293,648 = 293,648 : x
2. Step 2: Convert to fraction form
   200,923/293,648 = 293,648/x
3. Step 3: Cross multiply
   200,923x = 293,648 × 293,648
4. Step 4: Simplify right side
   200,923x = 86,229,147,904
5. Step 5: Solve for x
   x = 86,229,147,904/200,923
6. Step 6: Final answer
   x = 429,165.14