Finding the Third Proportional to 61,542 and 131,613

Step by Step Solution

1. Step 1: Write the proportion equation
   61,542 : 131,613 = 131,613 : x
2. Step 2: Convert to fraction form
   61,542/131,613 = 131,613/x
3. Step 3: Cross multiply
   61,542x = 131,613 × 131,613
4. Step 4: Simplify right side
   61,542x = 17,321,981,769
5. Step 5: Solve for x
   x = 17,321,981,769/61,542
6. Step 6: Final answer
   x = 281,466.02