Finding the Third Proportional to 126,993 and 189,870

Step by Step Solution

1. Step 1: Write the proportion equation
   126,993 : 189,870 = 189,870 : x
2. Step 2: Convert to fraction form
   126,993/189,870 = 189,870/x
3. Step 3: Cross multiply
   126,993x = 189,870 × 189,870
4. Step 4: Simplify right side
   126,993x = 36,050,616,900
5. Step 5: Solve for x
   x = 36,050,616,900/126,993
6. Step 6: Final answer
   x = 283,878.77