Finding the Third Proportional to 40,206 and 59,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,206 : 59,139.50 = 59,139.50 : x
2. Step 2: Convert to fraction form
   40,206/59,139.50 = 59,139.50/x
3. Step 3: Cross multiply
   40,206x = 59,139.50 × 59,139.50
4. Step 4: Simplify right side
   40,206x = 3,497,480,460.25
5. Step 5: Solve for x
   x = 3,497,480,460.25/40,206
6. Step 6: Final answer
   x = 86,989.02