Finding the Third Proportional to 113,967 and 262,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,967 : 262,804.50 = 262,804.50 : x
2. Step 2: Convert to fraction form
   113,967/262,804.50 = 262,804.50/x
3. Step 3: Cross multiply
   113,967x = 262,804.50 × 262,804.50
4. Step 4: Simplify right side
   113,967x = 69,066,205,220.25
5. Step 5: Solve for x
   x = 69,066,205,220.25/113,967
6. Step 6: Final answer
   x = 606,019.33