Finding the Third Proportional to 40,184 and 84,040

Step by Step Solution

1. Step 1: Write the proportion equation
   40,184 : 84,040 = 84,040 : x
2. Step 2: Convert to fraction form
   40,184/84,040 = 84,040/x
3. Step 3: Cross multiply
   40,184x = 84,040 × 84,040
4. Step 4: Simplify right side
   40,184x = 7,062,721,600
5. Step 5: Solve for x
   x = 7,062,721,600/40,184
6. Step 6: Final answer
   x = 175,759.55