Finding the Third Proportional to 51,535 and 108,606

Step by Step Solution

1. Step 1: Write the proportion equation
   51,535 : 108,606 = 108,606 : x
2. Step 2: Convert to fraction form
   51,535/108,606 = 108,606/x
3. Step 3: Cross multiply
   51,535x = 108,606 × 108,606
4. Step 4: Simplify right side
   51,535x = 11,795,263,236
5. Step 5: Solve for x
   x = 11,795,263,236/51,535
6. Step 6: Final answer
   x = 228,878.69