Finding the Third Proportional to 53,877 and 114,564

Step by Step Solution

1. Step 1: Write the proportion equation
   53,877 : 114,564 = 114,564 : x
2. Step 2: Convert to fraction form
   53,877/114,564 = 114,564/x
3. Step 3: Cross multiply
   53,877x = 114,564 × 114,564
4. Step 4: Simplify right side
   53,877x = 13,124,910,096
5. Step 5: Solve for x
   x = 13,124,910,096/53,877
6. Step 6: Final answer
   x = 243,608.78