Finding the Third Proportional to 61,146 and 126,099

Step by Step Solution

1. Step 1: Write the proportion equation
   61,146 : 126,099 = 126,099 : x
2. Step 2: Convert to fraction form
   61,146/126,099 = 126,099/x
3. Step 3: Cross multiply
   61,146x = 126,099 × 126,099
4. Step 4: Simplify right side
   61,146x = 15,900,957,801
5. Step 5: Solve for x
   x = 15,900,957,801/61,146
6. Step 6: Final answer
   x = 260,049.03