Finding the Third Proportional to 49,608 and 117,082

Step by Step Solution

1. Step 1: Write the proportion equation
   49,608 : 117,082 = 117,082 : x
2. Step 2: Convert to fraction form
   49,608/117,082 = 117,082/x
3. Step 3: Cross multiply
   49,608x = 117,082 × 117,082
4. Step 4: Simplify right side
   49,608x = 13,708,194,724
5. Step 5: Solve for x
   x = 13,708,194,724/49,608
6. Step 6: Final answer
   x = 276,330.32