Finding the Third Proportional to 110,424 and 172,196

Step by Step Solution

1. Step 1: Write the proportion equation
   110,424 : 172,196 = 172,196 : x
2. Step 2: Convert to fraction form
   110,424/172,196 = 172,196/x
3. Step 3: Cross multiply
   110,424x = 172,196 × 172,196
4. Step 4: Simplify right side
   110,424x = 29,651,462,416
5. Step 5: Solve for x
   x = 29,651,462,416/110,424
6. Step 6: Final answer
   x = 268,523.71