Finding the Third Proportional to 58,140 and 126,162

Step by Step Solution

1. Step 1: Write the proportion equation
   58,140 : 126,162 = 126,162 : x
2. Step 2: Convert to fraction form
   58,140/126,162 = 126,162/x
3. Step 3: Cross multiply
   58,140x = 126,162 × 126,162
4. Step 4: Simplify right side
   58,140x = 15,916,850,244
5. Step 5: Solve for x
   x = 15,916,850,244/58,140
6. Step 6: Final answer
   x = 273,767.63