Finding the Third Proportional to 111,116 and 172,098

Step by Step Solution

1. Step 1: Write the proportion equation
   111,116 : 172,098 = 172,098 : x
2. Step 2: Convert to fraction form
   111,116/172,098 = 172,098/x
3. Step 3: Cross multiply
   111,116x = 172,098 × 172,098
4. Step 4: Simplify right side
   111,116x = 29,617,721,604
5. Step 5: Solve for x
   x = 29,617,721,604/111,116
6. Step 6: Final answer
   x = 266,547.77