Finding the Third Proportional to 191,142 and 415,512

Step by Step Solution

1. Step 1: Write the proportion equation
   191,142 : 415,512 = 415,512 : x
2. Step 2: Convert to fraction form
   191,142/415,512 = 415,512/x
3. Step 3: Cross multiply
   191,142x = 415,512 × 415,512
4. Step 4: Simplify right side
   191,142x = 172,650,222,144
5. Step 5: Solve for x
   x = 172,650,222,144/191,142
6. Step 6: Final answer
   x = 903,256.33