Finding the Third Proportional to 51,518 and 109,786

Step by Step Solution

1. Step 1: Write the proportion equation
   51,518 : 109,786 = 109,786 : x
2. Step 2: Convert to fraction form
   51,518/109,786 = 109,786/x
3. Step 3: Cross multiply
   51,518x = 109,786 × 109,786
4. Step 4: Simplify right side
   51,518x = 12,052,965,796
5. Step 5: Solve for x
   x = 12,052,965,796/51,518
6. Step 6: Final answer
   x = 233,956.40