Finding the Third Proportional to 111,718 and 263,501

Step by Step Solution

1. Step 1: Write the proportion equation
   111,718 : 263,501 = 263,501 : x
2. Step 2: Convert to fraction form
   111,718/263,501 = 263,501/x
3. Step 3: Cross multiply
   111,718x = 263,501 × 263,501
4. Step 4: Simplify right side
   111,718x = 69,432,777,001
5. Step 5: Solve for x
   x = 69,432,777,001/111,718
6. Step 6: Final answer
   x = 621,500.36