Finding the Third Proportional to 111,064 and 172,024

Step by Step Solution

1. Step 1: Write the proportion equation
   111,064 : 172,024 = 172,024 : x
2. Step 2: Convert to fraction form
   111,064/172,024 = 172,024/x
3. Step 3: Cross multiply
   111,064x = 172,024 × 172,024
4. Step 4: Simplify right side
   111,064x = 29,592,256,576
5. Step 5: Solve for x
   x = 29,592,256,576/111,064
6. Step 6: Final answer
   x = 266,443.28