Finding the Third Proportional to 200,874 and 294,123

Step by Step Solution

1. Step 1: Write the proportion equation
   200,874 : 294,123 = 294,123 : x
2. Step 2: Convert to fraction form
   200,874/294,123 = 294,123/x
3. Step 3: Cross multiply
   200,874x = 294,123 × 294,123
4. Step 4: Simplify right side
   200,874x = 86,508,339,129
5. Step 5: Solve for x
   x = 86,508,339,129/200,874
6. Step 6: Final answer
   x = 430,659.71