Finding the Third Proportional to 109,404 and 139,785.75

Step by Step Solution

1. Step 1: Write the proportion equation
   109,404 : 139,785.75 = 139,785.75 : x
2. Step 2: Convert to fraction form
   109,404/139,785.75 = 139,785.75/x
3. Step 3: Cross multiply
   109,404x = 139,785.75 × 139,785.75
4. Step 4: Simplify right side
   109,404x = 19,540,055,903.06
5. Step 5: Solve for x
   x = 19,540,055,903.06/109,404
6. Step 6: Final answer
   x = 178,604.58