Finding the Third Proportional to 51,516 and 109,782

Step by Step Solution

1. Step 1: Write the proportion equation
   51,516 : 109,782 = 109,782 : x
2. Step 2: Convert to fraction form
   51,516/109,782 = 109,782/x
3. Step 3: Cross multiply
   51,516x = 109,782 × 109,782
4. Step 4: Simplify right side
   51,516x = 12,052,087,524
5. Step 5: Solve for x
   x = 12,052,087,524/51,516
6. Step 6: Final answer
   x = 233,948.43