Finding the Third Proportional to 49,824 and 109,440

Step by Step Solution

1. Step 1: Write the proportion equation
   49,824 : 109,440 = 109,440 : x
2. Step 2: Convert to fraction form
   49,824/109,440 = 109,440/x
3. Step 3: Cross multiply
   49,824x = 109,440 × 109,440
4. Step 4: Simplify right side
   49,824x = 11,977,113,600
5. Step 5: Solve for x
   x = 11,977,113,600/49,824
6. Step 6: Final answer
   x = 240,388.44