Finding the Third Proportional to 108,024 and 169,072

Step by Step Solution

1. Step 1: Write the proportion equation
   108,024 : 169,072 = 169,072 : x
2. Step 2: Convert to fraction form
   108,024/169,072 = 169,072/x
3. Step 3: Cross multiply
   108,024x = 169,072 × 169,072
4. Step 4: Simplify right side
   108,024x = 28,585,341,184
5. Step 5: Solve for x
   x = 28,585,341,184/108,024
6. Step 6: Final answer
   x = 264,620.28