Finding the Third Proportional to 53,536 and 116,608

Step by Step Solution

1. Step 1: Write the proportion equation
   53,536 : 116,608 = 116,608 : x
2. Step 2: Convert to fraction form
   53,536/116,608 = 116,608/x
3. Step 3: Cross multiply
   53,536x = 116,608 × 116,608
4. Step 4: Simplify right side
   53,536x = 13,597,425,664
5. Step 5: Solve for x
   x = 13,597,425,664/53,536
6. Step 6: Final answer
   x = 253,986.58