Finding the Third Proportional to 51,601 and 105,388

Step by Step Solution

1. Step 1: Write the proportion equation
   51,601 : 105,388 = 105,388 : x
2. Step 2: Convert to fraction form
   51,601/105,388 = 105,388/x
3. Step 3: Cross multiply
   51,601x = 105,388 × 105,388
4. Step 4: Simplify right side
   51,601x = 11,106,630,544
5. Step 5: Solve for x
   x = 11,106,630,544/51,601
6. Step 6: Final answer
   x = 215,240.61