Finding the Third Proportional to 40,944 and 84,496

Step by Step Solution

1. Step 1: Write the proportion equation
   40,944 : 84,496 = 84,496 : x
2. Step 2: Convert to fraction form
   40,944/84,496 = 84,496/x
3. Step 3: Cross multiply
   40,944x = 84,496 × 84,496
4. Step 4: Simplify right side
   40,944x = 7,139,574,016
5. Step 5: Solve for x
   x = 7,139,574,016/40,944
6. Step 6: Final answer
   x = 174,374.12