Finding the Third Proportional to 113,969 and 262,809

Step by Step Solution

1. Step 1: Write the proportion equation
   113,969 : 262,809 = 262,809 : x
2. Step 2: Convert to fraction form
   113,969/262,809 = 262,809/x
3. Step 3: Cross multiply
   113,969x = 262,809 × 262,809
4. Step 4: Simplify right side
   113,969x = 69,068,570,481
5. Step 5: Solve for x
   x = 69,068,570,481/113,969
6. Step 6: Final answer
   x = 606,029.45