Finding the Third Proportional to 189,243 and 413,910

Step by Step Solution

1. Step 1: Write the proportion equation
   189,243 : 413,910 = 413,910 : x
2. Step 2: Convert to fraction form
   189,243/413,910 = 413,910/x
3. Step 3: Cross multiply
   189,243x = 413,910 × 413,910
4. Step 4: Simplify right side
   189,243x = 171,321,488,100
5. Step 5: Solve for x
   x = 171,321,488,100/189,243
6. Step 6: Final answer
   x = 905,298.94