Finding the Third Proportional to 49,472 and 116,665

Step by Step Solution

1. Step 1: Write the proportion equation
   49,472 : 116,665 = 116,665 : x
2. Step 2: Convert to fraction form
   49,472/116,665 = 116,665/x
3. Step 3: Cross multiply
   49,472x = 116,665 × 116,665
4. Step 4: Simplify right side
   49,472x = 13,610,722,225
5. Step 5: Solve for x
   x = 13,610,722,225/49,472
6. Step 6: Final answer
   x = 275,119.71