Finding the Third Proportional to 120,609 and 182,142

Step by Step Solution

1. Step 1: Write the proportion equation
   120,609 : 182,142 = 182,142 : x
2. Step 2: Convert to fraction form
   120,609/182,142 = 182,142/x
3. Step 3: Cross multiply
   120,609x = 182,142 × 182,142
4. Step 4: Simplify right side
   120,609x = 33,175,708,164
5. Step 5: Solve for x
   x = 33,175,708,164/120,609
6. Step 6: Final answer
   x = 275,068.26