Finding the Third Proportional to 46,766 and 100,111

Step by Step Solution

1. Step 1: Write the proportion equation
   46,766 : 100,111 = 100,111 : x
2. Step 2: Convert to fraction form
   46,766/100,111 = 100,111/x
3. Step 3: Cross multiply
   46,766x = 100,111 × 100,111
4. Step 4: Simplify right side
   46,766x = 10,022,212,321
5. Step 5: Solve for x
   x = 10,022,212,321/46,766
6. Step 6: Final answer
   x = 214,305.53