Finding the Third Proportional to 111,024 and 169,296

Step by Step Solution

1. Step 1: Write the proportion equation
   111,024 : 169,296 = 169,296 : x
2. Step 2: Convert to fraction form
   111,024/169,296 = 169,296/x
3. Step 3: Cross multiply
   111,024x = 169,296 × 169,296
4. Step 4: Simplify right side
   111,024x = 28,661,135,616
5. Step 5: Solve for x
   x = 28,661,135,616/111,024
6. Step 6: Final answer
   x = 258,152.61