Finding the Third Proportional to 111,352 and 172,212

Step by Step Solution

1. Step 1: Write the proportion equation
   111,352 : 172,212 = 172,212 : x
2. Step 2: Convert to fraction form
   111,352/172,212 = 172,212/x
3. Step 3: Cross multiply
   111,352x = 172,212 × 172,212
4. Step 4: Simplify right side
   111,352x = 29,656,972,944
5. Step 5: Solve for x
   x = 29,656,972,944/111,352
6. Step 6: Final answer
   x = 266,335.34