Finding the Third Proportional to 49,776 and 116,304

Step by Step Solution

1. Step 1: Write the proportion equation
   49,776 : 116,304 = 116,304 : x
2. Step 2: Convert to fraction form
   49,776/116,304 = 116,304/x
3. Step 3: Cross multiply
   49,776x = 116,304 × 116,304
4. Step 4: Simplify right side
   49,776x = 13,526,620,416
5. Step 5: Solve for x
   x = 13,526,620,416/49,776
6. Step 6: Final answer
   x = 271,749.85