Finding the Third Proportional to 116,498 and 254,804

Step by Step Solution

1. Step 1: Write the proportion equation
   116,498 : 254,804 = 254,804 : x
2. Step 2: Convert to fraction form
   116,498/254,804 = 254,804/x
3. Step 3: Cross multiply
   116,498x = 254,804 × 254,804
4. Step 4: Simplify right side
   116,498x = 64,925,078,416
5. Step 5: Solve for x
   x = 64,925,078,416/116,498
6. Step 6: Final answer
   x = 557,306.38