Finding the Third Proportional to 85,683 and 185,667

Step by Step Solution

1. Step 1: Write the proportion equation
   85,683 : 185,667 = 185,667 : x
2. Step 2: Convert to fraction form
   85,683/185,667 = 185,667/x
3. Step 3: Cross multiply
   85,683x = 185,667 × 185,667
4. Step 4: Simplify right side
   85,683x = 34,472,234,889
5. Step 5: Solve for x
   x = 34,472,234,889/85,683
6. Step 6: Final answer
   x = 402,322.92