Finding the Third Proportional to 54,298 and 116,804

Step by Step Solution

1. Step 1: Write the proportion equation
   54,298 : 116,804 = 116,804 : x
2. Step 2: Convert to fraction form
   54,298/116,804 = 116,804/x
3. Step 3: Cross multiply
   54,298x = 116,804 × 116,804
4. Step 4: Simplify right side
   54,298x = 13,643,174,416
5. Step 5: Solve for x
   x = 13,643,174,416/54,298
6. Step 6: Final answer
   x = 251,264.77