Finding the Third Proportional to 40,288 and 86,983

Step by Step Solution

1. Step 1: Write the proportion equation
   40,288 : 86,983 = 86,983 : x
2. Step 2: Convert to fraction form
   40,288/86,983 = 86,983/x
3. Step 3: Cross multiply
   40,288x = 86,983 × 86,983
4. Step 4: Simplify right side
   40,288x = 7,566,042,289
5. Step 5: Solve for x
   x = 7,566,042,289/40,288
6. Step 6: Final answer
   x = 187,798.91