Finding the Third Proportional to 111,410 and 240,577

Step by Step Solution

1. Step 1: Write the proportion equation
   111,410 : 240,577 = 240,577 : x
2. Step 2: Convert to fraction form
   111,410/240,577 = 240,577/x
3. Step 3: Cross multiply
   111,410x = 240,577 × 240,577
4. Step 4: Simplify right side
   111,410x = 57,877,292,929
5. Step 5: Solve for x
   x = 57,877,292,929/111,410
6. Step 6: Final answer
   x = 519,498.19