Finding the Third Proportional to 116,247 and 258,798

Step by Step Solution

1. Step 1: Write the proportion equation
   116,247 : 258,798 = 258,798 : x
2. Step 2: Convert to fraction form
   116,247/258,798 = 258,798/x
3. Step 3: Cross multiply
   116,247x = 258,798 × 258,798
4. Step 4: Simplify right side
   116,247x = 66,976,404,804
5. Step 5: Solve for x
   x = 66,976,404,804/116,247
6. Step 6: Final answer
   x = 576,155.99