Finding the Third Proportional to 111,395 and 172,368

Step by Step Solution

1. Step 1: Write the proportion equation
   111,395 : 172,368 = 172,368 : x
2. Step 2: Convert to fraction form
   111,395/172,368 = 172,368/x
3. Step 3: Cross multiply
   111,395x = 172,368 × 172,368
4. Step 4: Simplify right side
   111,395x = 29,710,727,424
5. Step 5: Solve for x
   x = 29,710,727,424/111,395
6. Step 6: Final answer
   x = 266,715.09