Finding the Third Proportional to 111,066 and 216,596

Step by Step Solution

1. Step 1: Write the proportion equation
   111,066 : 216,596 = 216,596 : x
2. Step 2: Convert to fraction form
   111,066/216,596 = 216,596/x
3. Step 3: Cross multiply
   111,066x = 216,596 × 216,596
4. Step 4: Simplify right side
   111,066x = 46,913,827,216
5. Step 5: Solve for x
   x = 46,913,827,216/111,066
6. Step 6: Final answer
   x = 422,395.94