Finding the Third Proportional to 85,683 and 191,238

Step by Step Solution

1. Step 1: Write the proportion equation
   85,683 : 191,238 = 191,238 : x
2. Step 2: Convert to fraction form
   85,683/191,238 = 191,238/x
3. Step 3: Cross multiply
   85,683x = 191,238 × 191,238
4. Step 4: Simplify right side
   85,683x = 36,571,972,644
5. Step 5: Solve for x
   x = 36,571,972,644/85,683
6. Step 6: Final answer
   x = 426,828.81