Finding the Third Proportional to 49,971 and 108,648

Step by Step Solution

1. Step 1: Write the proportion equation
   49,971 : 108,648 = 108,648 : x
2. Step 2: Convert to fraction form
   49,971/108,648 = 108,648/x
3. Step 3: Cross multiply
   49,971x = 108,648 × 108,648
4. Step 4: Simplify right side
   49,971x = 11,804,387,904
5. Step 5: Solve for x
   x = 11,804,387,904/49,971
6. Step 6: Final answer
   x = 236,224.77