Finding the Third Proportional to 111,298.50 and 262,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,298.50 : 262,466.50 = 262,466.50 : x
2. Step 2: Convert to fraction form
   111,298.50/262,466.50 = 262,466.50/x
3. Step 3: Cross multiply
   111,298.50x = 262,466.50 × 262,466.50
4. Step 4: Simplify right side
   111,298.50x = 68,888,663,622.25
5. Step 5: Solve for x
   x = 68,888,663,622.25/111,298.50
6. Step 6: Final answer
   x = 618,954.11