Finding the Third Proportional to 54,830 and 117,444

Step by Step Solution

1. Step 1: Write the proportion equation
   54,830 : 117,444 = 117,444 : x
2. Step 2: Convert to fraction form
   54,830/117,444 = 117,444/x
3. Step 3: Cross multiply
   54,830x = 117,444 × 117,444
4. Step 4: Simplify right side
   54,830x = 13,793,093,136
5. Step 5: Solve for x
   x = 13,793,093,136/54,830
6. Step 6: Final answer
   x = 251,561.06