Finding the Third Proportional to 111,614 and 234,126

Step by Step Solution

1. Step 1: Write the proportion equation
   111,614 : 234,126 = 234,126 : x
2. Step 2: Convert to fraction form
   111,614/234,126 = 234,126/x
3. Step 3: Cross multiply
   111,614x = 234,126 × 234,126
4. Step 4: Simplify right side
   111,614x = 54,814,983,876
5. Step 5: Solve for x
   x = 54,814,983,876/111,614
6. Step 6: Final answer
   x = 491,112.08