Finding the Third Proportional to 111,258 and 172,166

Step by Step Solution

1. Step 1: Write the proportion equation
   111,258 : 172,166 = 172,166 : x
2. Step 2: Convert to fraction form
   111,258/172,166 = 172,166/x
3. Step 3: Cross multiply
   111,258x = 172,166 × 172,166
4. Step 4: Simplify right side
   111,258x = 29,641,131,556
5. Step 5: Solve for x
   x = 29,641,131,556/111,258
6. Step 6: Final answer
   x = 266,417.98