Finding the Third Proportional to 53,286 and 108,066

Step by Step Solution

1. Step 1: Write the proportion equation
   53,286 : 108,066 = 108,066 : x
2. Step 2: Convert to fraction form
   53,286/108,066 = 108,066/x
3. Step 3: Cross multiply
   53,286x = 108,066 × 108,066
4. Step 4: Simplify right side
   53,286x = 11,678,260,356
5. Step 5: Solve for x
   x = 11,678,260,356/53,286
6. Step 6: Final answer
   x = 219,161.89