Finding the Third Proportional to 107,743 and 234,475

Step by Step Solution

1. Step 1: Write the proportion equation
   107,743 : 234,475 = 234,475 : x
2. Step 2: Convert to fraction form
   107,743/234,475 = 234,475/x
3. Step 3: Cross multiply
   107,743x = 234,475 × 234,475
4. Step 4: Simplify right side
   107,743x = 54,978,525,625
5. Step 5: Solve for x
   x = 54,978,525,625/107,743
6. Step 6: Final answer
   x = 510,274.69