Finding the Third Proportional to 51,550 and 109,616

Step by Step Solution

1. Step 1: Write the proportion equation
   51,550 : 109,616 = 109,616 : x
2. Step 2: Convert to fraction form
   51,550/109,616 = 109,616/x
3. Step 3: Cross multiply
   51,550x = 109,616 × 109,616
4. Step 4: Simplify right side
   51,550x = 12,015,667,456
5. Step 5: Solve for x
   x = 12,015,667,456/51,550
6. Step 6: Final answer
   x = 233,087.63