Finding the Third Proportional to 105,271 and 136,578

Step by Step Solution

1. Step 1: Write the proportion equation
   105,271 : 136,578 = 136,578 : x
2. Step 2: Convert to fraction form
   105,271/136,578 = 136,578/x
3. Step 3: Cross multiply
   105,271x = 136,578 × 136,578
4. Step 4: Simplify right side
   105,271x = 18,653,550,084
5. Step 5: Solve for x
   x = 18,653,550,084/105,271
6. Step 6: Final answer
   x = 177,195.52