Finding the Third Proportional to 109,978 and 235,508

Step by Step Solution

1. Step 1: Write the proportion equation
   109,978 : 235,508 = 235,508 : x
2. Step 2: Convert to fraction form
   109,978/235,508 = 235,508/x
3. Step 3: Cross multiply
   109,978x = 235,508 × 235,508
4. Step 4: Simplify right side
   109,978x = 55,464,018,064
5. Step 5: Solve for x
   x = 55,464,018,064/109,978
6. Step 6: Final answer
   x = 504,319.21