Finding the Third Proportional to 53,952 and 116,082

Step by Step Solution

1. Step 1: Write the proportion equation
   53,952 : 116,082 = 116,082 : x
2. Step 2: Convert to fraction form
   53,952/116,082 = 116,082/x
3. Step 3: Cross multiply
   53,952x = 116,082 × 116,082
4. Step 4: Simplify right side
   53,952x = 13,475,030,724
5. Step 5: Solve for x
   x = 13,475,030,724/53,952
6. Step 6: Final answer
   x = 249,759.61