Finding the Third Proportional to 111,854 and 172,810

Step by Step Solution

1. Step 1: Write the proportion equation
   111,854 : 172,810 = 172,810 : x
2. Step 2: Convert to fraction form
   111,854/172,810 = 172,810/x
3. Step 3: Cross multiply
   111,854x = 172,810 × 172,810
4. Step 4: Simplify right side
   111,854x = 29,863,296,100
5. Step 5: Solve for x
   x = 29,863,296,100/111,854
6. Step 6: Final answer
   x = 266,984.61