Finding the Third Proportional to 111,297.25 and 262,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,297.25 : 262,463.50 = 262,463.50 : x
2. Step 2: Convert to fraction form
   111,297.25/262,463.50 = 262,463.50/x
3. Step 3: Cross multiply
   111,297.25x = 262,463.50 × 262,463.50
4. Step 4: Simplify right side
   111,297.25x = 68,887,088,832.25
5. Step 5: Solve for x
   x = 68,887,088,832.25/111,297.25
6. Step 6: Final answer
   x = 618,946.91