Finding the Third Proportional to 54,888 and 114,082

Step by Step Solution

1. Step 1: Write the proportion equation
   54,888 : 114,082 = 114,082 : x
2. Step 2: Convert to fraction form
   54,888/114,082 = 114,082/x
3. Step 3: Cross multiply
   54,888x = 114,082 × 114,082
4. Step 4: Simplify right side
   54,888x = 13,014,702,724
5. Step 5: Solve for x
   x = 13,014,702,724/54,888
6. Step 6: Final answer
   x = 237,113.81