Finding the Third Proportional to 51,111 and 108,297

Step by Step Solution

1. Step 1: Write the proportion equation
   51,111 : 108,297 = 108,297 : x
2. Step 2: Convert to fraction form
   51,111/108,297 = 108,297/x
3. Step 3: Cross multiply
   51,111x = 108,297 × 108,297
4. Step 4: Simplify right side
   51,111x = 11,728,240,209
5. Step 5: Solve for x
   x = 11,728,240,209/51,111
6. Step 6: Final answer
   x = 229,466.07