Finding the Third Proportional to 111,917 and 257,740

Step by Step Solution

1. Step 1: Write the proportion equation
   111,917 : 257,740 = 257,740 : x
2. Step 2: Convert to fraction form
   111,917/257,740 = 257,740/x
3. Step 3: Cross multiply
   111,917x = 257,740 × 257,740
4. Step 4: Simplify right side
   111,917x = 66,429,907,600
5. Step 5: Solve for x
   x = 66,429,907,600/111,917
6. Step 6: Final answer
   x = 593,564.05