Finding the Third Proportional to 111,322 and 172,395

Step by Step Solution

1. Step 1: Write the proportion equation
   111,322 : 172,395 = 172,395 : x
2. Step 2: Convert to fraction form
   111,322/172,395 = 172,395/x
3. Step 3: Cross multiply
   111,322x = 172,395 × 172,395
4. Step 4: Simplify right side
   111,322x = 29,720,036,025
5. Step 5: Solve for x
   x = 29,720,036,025/111,322
6. Step 6: Final answer
   x = 266,973.61