Finding the Third Proportional to 54,290 and 114,412

Step by Step Solution

1. Step 1: Write the proportion equation
   54,290 : 114,412 = 114,412 : x
2. Step 2: Convert to fraction form
   54,290/114,412 = 114,412/x
3. Step 3: Cross multiply
   54,290x = 114,412 × 114,412
4. Step 4: Simplify right side
   54,290x = 13,090,105,744
5. Step 5: Solve for x
   x = 13,090,105,744/54,290
6. Step 6: Final answer
   x = 241,114.49