Finding the Third Proportional to 59,613 and 126,333

Step by Step Solution

1. Step 1: Write the proportion equation
   59,613 : 126,333 = 126,333 : x
2. Step 2: Convert to fraction form
   59,613/126,333 = 126,333/x
3. Step 3: Cross multiply
   59,613x = 126,333 × 126,333
4. Step 4: Simplify right side
   59,613x = 15,960,026,889
5. Step 5: Solve for x
   x = 15,960,026,889/59,613
6. Step 6: Final answer
   x = 267,727.29