Finding the Third Proportional to 51,038 and 108,254

Step by Step Solution

1. Step 1: Write the proportion equation
   51,038 : 108,254 = 108,254 : x
2. Step 2: Convert to fraction form
   51,038/108,254 = 108,254/x
3. Step 3: Cross multiply
   51,038x = 108,254 × 108,254
4. Step 4: Simplify right side
   51,038x = 11,718,928,516
5. Step 5: Solve for x
   x = 11,718,928,516/51,038
6. Step 6: Final answer
   x = 229,611.83