Finding the Third Proportional to 40,139 and 86,758

Step by Step Solution

1. Step 1: Write the proportion equation
   40,139 : 86,758 = 86,758 : x
2. Step 2: Convert to fraction form
   40,139/86,758 = 86,758/x
3. Step 3: Cross multiply
   40,139x = 86,758 × 86,758
4. Step 4: Simplify right side
   40,139x = 7,526,950,564
5. Step 5: Solve for x
   x = 7,526,950,564/40,139
6. Step 6: Final answer
   x = 187,522.12