Finding the Third Proportional to 54,266 and 117,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,266 : 117,553.50 = 117,553.50 : x
2. Step 2: Convert to fraction form
   54,266/117,553.50 = 117,553.50/x
3. Step 3: Cross multiply
   54,266x = 117,553.50 × 117,553.50
4. Step 4: Simplify right side
   54,266x = 13,818,825,362.25
5. Step 5: Solve for x
   x = 13,818,825,362.25/54,266
6. Step 6: Final answer
   x = 254,649.79