Finding the Third Proportional to 49,474 and 116,674

Step by Step Solution

1. Step 1: Write the proportion equation
   49,474 : 116,674 = 116,674 : x
2. Step 2: Convert to fraction form
   49,474/116,674 = 116,674/x
3. Step 3: Cross multiply
   49,474x = 116,674 × 116,674
4. Step 4: Simplify right side
   49,474x = 13,612,822,276
5. Step 5: Solve for x
   x = 13,612,822,276/49,474
6. Step 6: Final answer
   x = 275,151.03