Finding the Third Proportional to 111,118 and 172,101

Step by Step Solution

1. Step 1: Write the proportion equation
   111,118 : 172,101 = 172,101 : x
2. Step 2: Convert to fraction form
   111,118/172,101 = 172,101/x
3. Step 3: Cross multiply
   111,118x = 172,101 × 172,101
4. Step 4: Simplify right side
   111,118x = 29,618,754,201
5. Step 5: Solve for x
   x = 29,618,754,201/111,118
6. Step 6: Final answer
   x = 266,552.26