Finding the Third Proportional to 51,408 and 109,566

Step by Step Solution

1. Step 1: Write the proportion equation
   51,408 : 109,566 = 109,566 : x
2. Step 2: Convert to fraction form
   51,408/109,566 = 109,566/x
3. Step 3: Cross multiply
   51,408x = 109,566 × 109,566
4. Step 4: Simplify right side
   51,408x = 12,004,708,356
5. Step 5: Solve for x
   x = 12,004,708,356/51,408
6. Step 6: Final answer
   x = 233,518.29