Finding the Third Proportional to 51,984 and 109,494

Step by Step Solution

1. Step 1: Write the proportion equation
   51,984 : 109,494 = 109,494 : x
2. Step 2: Convert to fraction form
   51,984/109,494 = 109,494/x
3. Step 3: Cross multiply
   51,984x = 109,494 × 109,494
4. Step 4: Simplify right side
   51,984x = 11,988,936,036
5. Step 5: Solve for x
   x = 11,988,936,036/51,984
6. Step 6: Final answer
   x = 230,627.42