Finding the Third Proportional to 111,657 and 240,807

Step by Step Solution

1. Step 1: Write the proportion equation
   111,657 : 240,807 = 240,807 : x
2. Step 2: Convert to fraction form
   111,657/240,807 = 240,807/x
3. Step 3: Cross multiply
   111,657x = 240,807 × 240,807
4. Step 4: Simplify right side
   111,657x = 57,988,011,249
5. Step 5: Solve for x
   x = 57,988,011,249/111,657
6. Step 6: Final answer
   x = 519,340.58