Finding the Third Proportional to 111,421 and 172,601.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111,421 : 172,601.75 = 172,601.75 : x
2. Step 2: Convert to fraction form
   111,421/172,601.75 = 172,601.75/x
3. Step 3: Cross multiply
   111,421x = 172,601.75 × 172,601.75
4. Step 4: Simplify right side
   111,421x = 29,791,364,103.06
5. Step 5: Solve for x
   x = 29,791,364,103.06/111,421
6. Step 6: Final answer
   x = 267,376.56