Finding the Third Proportional to 111,314 and 172,389

Step by Step Solution

1. Step 1: Write the proportion equation
   111,314 : 172,389 = 172,389 : x
2. Step 2: Convert to fraction form
   111,314/172,389 = 172,389/x
3. Step 3: Cross multiply
   111,314x = 172,389 × 172,389
4. Step 4: Simplify right side
   111,314x = 29,717,967,321
5. Step 5: Solve for x
   x = 29,717,967,321/111,314
6. Step 6: Final answer
   x = 266,974.21