Finding the Third Proportional to 111,219.75 and 172,358.72

Step by Step Solution

1. Step 1: Write the proportion equation
   111,219.75 : 172,358.72 = 172,358.72 : x
2. Step 2: Convert to fraction form
   111,219.75/172,358.72 = 172,358.72/x
3. Step 3: Cross multiply
   111,219.75x = 172,358.72 × 172,358.72
4. Step 4: Simplify right side
   111,219.75x = 29,707,527,929.14
5. Step 5: Solve for x
   x = 29,707,527,929.14/111,219.75
6. Step 6: Final answer
   x = 267,106.59