Finding the Third Proportional to 86,238 and 187,662

Step by Step Solution

1. Step 1: Write the proportion equation
   86,238 : 187,662 = 187,662 : x
2. Step 2: Convert to fraction form
   86,238/187,662 = 187,662/x
3. Step 3: Cross multiply
   86,238x = 187,662 × 187,662
4. Step 4: Simplify right side
   86,238x = 35,217,026,244
5. Step 5: Solve for x
   x = 35,217,026,244/86,238
6. Step 6: Final answer
   x = 408,370.16