Finding the Third Proportional to 49,474 and 116,668

Step by Step Solution

1. Step 1: Write the proportion equation
   49,474 : 116,668 = 116,668 : x
2. Step 2: Convert to fraction form
   49,474/116,668 = 116,668/x
3. Step 3: Cross multiply
   49,474x = 116,668 × 116,668
4. Step 4: Simplify right side
   49,474x = 13,611,422,224
5. Step 5: Solve for x
   x = 13,611,422,224/49,474
6. Step 6: Final answer
   x = 275,122.74