Finding the Third Proportional to 49,359 and 108,564

Step by Step Solution

1. Step 1: Write the proportion equation
   49,359 : 108,564 = 108,564 : x
2. Step 2: Convert to fraction form
   49,359/108,564 = 108,564/x
3. Step 3: Cross multiply
   49,359x = 108,564 × 108,564
4. Step 4: Simplify right side
   49,359x = 11,786,142,096
5. Step 5: Solve for x
   x = 11,786,142,096/49,359
6. Step 6: Final answer
   x = 238,784.05