Finding the Third Proportional to 109,581.19 and 140,023.69

Step by Step Solution

1. Step 1: Write the proportion equation
   109,581.19 : 140,023.69 = 140,023.69 : x
2. Step 2: Convert to fraction form
   109,581.19/140,023.69 = 140,023.69/x
3. Step 3: Cross multiply
   109,581.19x = 140,023.69 × 140,023.69
4. Step 4: Simplify right side
   109,581.19x = 19,606,633,061.10
5. Step 5: Solve for x
   x = 19,606,633,061.10/109,581.19
6. Step 6: Final answer
   x = 178,923.35