Finding the Third Proportional to 46,924 and 100,016

Step by Step Solution

1. Step 1: Write the proportion equation
   46,924 : 100,016 = 100,016 : x
2. Step 2: Convert to fraction form
   46,924/100,016 = 100,016/x
3. Step 3: Cross multiply
   46,924x = 100,016 × 100,016
4. Step 4: Simplify right side
   46,924x = 10,003,200,256
5. Step 5: Solve for x
   x = 10,003,200,256/46,924
6. Step 6: Final answer
   x = 213,178.76