Finding the Third Proportional to 59,588 and 126,088

Step by Step Solution

1. Step 1: Write the proportion equation
   59,588 : 126,088 = 126,088 : x
2. Step 2: Convert to fraction form
   59,588/126,088 = 126,088/x
3. Step 3: Cross multiply
   59,588x = 126,088 × 126,088
4. Step 4: Simplify right side
   59,588x = 15,898,183,744
5. Step 5: Solve for x
   x = 15,898,183,744/59,588
6. Step 6: Final answer
   x = 266,801.77