Finding the Third Proportional to 54,824 and 120,118

Step by Step Solution

1. Step 1: Write the proportion equation
   54,824 : 120,118 = 120,118 : x
2. Step 2: Convert to fraction form
   54,824/120,118 = 120,118/x
3. Step 3: Cross multiply
   54,824x = 120,118 × 120,118
4. Step 4: Simplify right side
   54,824x = 14,428,333,924
5. Step 5: Solve for x
   x = 14,428,333,924/54,824
6. Step 6: Final answer
   x = 263,175.51