Finding the Third Proportional to 54,142 and 114,208

Step by Step Solution

1. Step 1: Write the proportion equation
   54,142 : 114,208 = 114,208 : x
2. Step 2: Convert to fraction form
   54,142/114,208 = 114,208/x
3. Step 3: Cross multiply
   54,142x = 114,208 × 114,208
4. Step 4: Simplify right side
   54,142x = 13,043,467,264
5. Step 5: Solve for x
   x = 13,043,467,264/54,142
6. Step 6: Final answer
   x = 240,912.18