Finding the Third Proportional to 111,521.81 and 172,742.63

Step by Step Solution

1. Step 1: Write the proportion equation
   111,521.81 : 172,742.63 = 172,742.63 : x
2. Step 2: Convert to fraction form
   111,521.81/172,742.63 = 172,742.63/x
3. Step 3: Cross multiply
   111,521.81x = 172,742.63 × 172,742.63
4. Step 4: Simplify right side
   111,521.81x = 29,840,014,491.89
5. Step 5: Solve for x
   x = 29,840,014,491.89/111,521.81
6. Step 6: Final answer
   x = 267,571.10