Finding the Third Proportional to 49,470 and 116,660

Step by Step Solution

1. Step 1: Write the proportion equation
   49,470 : 116,660 = 116,660 : x
2. Step 2: Convert to fraction form
   49,470/116,660 = 116,660/x
3. Step 3: Cross multiply
   49,470x = 116,660 × 116,660
4. Step 4: Simplify right side
   49,470x = 13,609,555,600
5. Step 5: Solve for x
   x = 13,609,555,600/49,470
6. Step 6: Final answer
   x = 275,107.25