Finding the Third Proportional to 49,574 and 103,180

Step by Step Solution

1. Step 1: Write the proportion equation
   49,574 : 103,180 = 103,180 : x
2. Step 2: Convert to fraction form
   49,574/103,180 = 103,180/x
3. Step 3: Cross multiply
   49,574x = 103,180 × 103,180
4. Step 4: Simplify right side
   49,574x = 10,646,112,400
5. Step 5: Solve for x
   x = 10,646,112,400/49,574
6. Step 6: Final answer
   x = 214,751.93