Finding the Third Proportional to 51,206 and 109,036

Step by Step Solution

1. Step 1: Write the proportion equation
   51,206 : 109,036 = 109,036 : x
2. Step 2: Convert to fraction form
   51,206/109,036 = 109,036/x
3. Step 3: Cross multiply
   51,206x = 109,036 × 109,036
4. Step 4: Simplify right side
   51,206x = 11,888,849,296
5. Step 5: Solve for x
   x = 11,888,849,296/51,206
6. Step 6: Final answer
   x = 232,176.88