Finding the Third Proportional to 111,053 and 171,770

Step by Step Solution

1. Step 1: Write the proportion equation
   111,053 : 171,770 = 171,770 : x
2. Step 2: Convert to fraction form
   111,053/171,770 = 171,770/x
3. Step 3: Cross multiply
   111,053x = 171,770 × 171,770
4. Step 4: Simplify right side
   111,053x = 29,504,932,900
5. Step 5: Solve for x
   x = 29,504,932,900/111,053
6. Step 6: Final answer
   x = 265,683.35