Finding the Third Proportional to 40,090.50 and 86,742

Step by Step Solution

1. Step 1: Write the proportion equation
   40,090.50 : 86,742 = 86,742 : x
2. Step 2: Convert to fraction form
   40,090.50/86,742 = 86,742/x
3. Step 3: Cross multiply
   40,090.50x = 86,742 × 86,742
4. Step 4: Simplify right side
   40,090.50x = 7,524,174,564
5. Step 5: Solve for x
   x = 7,524,174,564/40,090.50
6. Step 6: Final answer
   x = 187,679.74