Finding the Third Proportional to 109,544 and 169,146

Step by Step Solution

1. Step 1: Write the proportion equation
   109,544 : 169,146 = 169,146 : x
2. Step 2: Convert to fraction form
   109,544/169,146 = 169,146/x
3. Step 3: Cross multiply
   109,544x = 169,146 × 169,146
4. Step 4: Simplify right side
   109,544x = 28,610,369,316
5. Step 5: Solve for x
   x = 28,610,369,316/109,544
6. Step 6: Final answer
   x = 261,176.96