Finding the Third Proportional to 51,460 and 109,831

Step by Step Solution

1. Step 1: Write the proportion equation
   51,460 : 109,831 = 109,831 : x
2. Step 2: Convert to fraction form
   51,460/109,831 = 109,831/x
3. Step 3: Cross multiply
   51,460x = 109,831 × 109,831
4. Step 4: Simplify right side
   51,460x = 12,062,848,561
5. Step 5: Solve for x
   x = 12,062,848,561/51,460
6. Step 6: Final answer
   x = 234,412.14