Finding the Third Proportional to 46,742 and 100,040

Step by Step Solution

1. Step 1: Write the proportion equation
   46,742 : 100,040 = 100,040 : x
2. Step 2: Convert to fraction form
   46,742/100,040 = 100,040/x
3. Step 3: Cross multiply
   46,742x = 100,040 × 100,040
4. Step 4: Simplify right side
   46,742x = 10,008,001,600
5. Step 5: Solve for x
   x = 10,008,001,600/46,742
6. Step 6: Final answer
   x = 214,111.54