Finding the Third Proportional to 111,642 and 240,776

Step by Step Solution

1. Step 1: Write the proportion equation
   111,642 : 240,776 = 240,776 : x
2. Step 2: Convert to fraction form
   111,642/240,776 = 240,776/x
3. Step 3: Cross multiply
   111,642x = 240,776 × 240,776
4. Step 4: Simplify right side
   111,642x = 57,973,082,176
5. Step 5: Solve for x
   x = 57,973,082,176/111,642
6. Step 6: Final answer
   x = 519,276.64