Finding the Third Proportional to 46,740 and 100,036

Step by Step Solution

1. Step 1: Write the proportion equation
   46,740 : 100,036 = 100,036 : x
2. Step 2: Convert to fraction form
   46,740/100,036 = 100,036/x
3. Step 3: Cross multiply
   46,740x = 100,036 × 100,036
4. Step 4: Simplify right side
   46,740x = 10,007,201,296
5. Step 5: Solve for x
   x = 10,007,201,296/46,740
6. Step 6: Final answer
   x = 214,103.58