Finding the Third Proportional to 111,024 and 169,299

Step by Step Solution

1. Step 1: Write the proportion equation
   111,024 : 169,299 = 169,299 : x
2. Step 2: Convert to fraction form
   111,024/169,299 = 169,299/x
3. Step 3: Cross multiply
   111,024x = 169,299 × 169,299
4. Step 4: Simplify right side
   111,024x = 28,662,151,401
5. Step 5: Solve for x
   x = 28,662,151,401/111,024
6. Step 6: Final answer
   x = 258,161.76