Finding the Third Proportional to 111,142.13 and 262,242.56

Step by Step Solution

1. Step 1: Write the proportion equation
   111,142.13 : 262,242.56 = 262,242.56 : x
2. Step 2: Convert to fraction form
   111,142.13/262,242.56 = 262,242.56/x
3. Step 3: Cross multiply
   111,142.13x = 262,242.56 × 262,242.56
4. Step 4: Simplify right side
   111,142.13x = 68,771,161,586.57
5. Step 5: Solve for x
   x = 68,771,161,586.57/111,142.13
6. Step 6: Final answer
   x = 618,767.74