Finding the Third Proportional to 111,806 and 171,603

Step by Step Solution

1. Step 1: Write the proportion equation
   111,806 : 171,603 = 171,603 : x
2. Step 2: Convert to fraction form
   111,806/171,603 = 171,603/x
3. Step 3: Cross multiply
   111,806x = 171,603 × 171,603
4. Step 4: Simplify right side
   111,806x = 29,447,589,609
5. Step 5: Solve for x
   x = 29,447,589,609/111,806
6. Step 6: Final answer
   x = 263,381.12