Finding the Third Proportional to 49,284 and 111,728.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,284 : 111,728.25 = 111,728.25 : x
2. Step 2: Convert to fraction form
   49,284/111,728.25 = 111,728.25/x
3. Step 3: Cross multiply
   49,284x = 111,728.25 × 111,728.25
4. Step 4: Simplify right side
   49,284x = 12,483,201,848.06
5. Step 5: Solve for x
   x = 12,483,201,848.06/49,284
6. Step 6: Final answer
   x = 253,291.17