Finding the Third Proportional to 111,294 and 240,407

Step by Step Solution

1. Step 1: Write the proportion equation
   111,294 : 240,407 = 240,407 : x
2. Step 2: Convert to fraction form
   111,294/240,407 = 240,407/x
3. Step 3: Cross multiply
   111,294x = 240,407 × 240,407
4. Step 4: Simplify right side
   111,294x = 57,795,525,649
5. Step 5: Solve for x
   x = 57,795,525,649/111,294
6. Step 6: Final answer
   x = 519,304.95