Finding the Third Proportional to 46,077 and 100,494

Step by Step Solution

1. Step 1: Write the proportion equation
   46,077 : 100,494 = 100,494 : x
2. Step 2: Convert to fraction form
   46,077/100,494 = 100,494/x
3. Step 3: Cross multiply
   46,077x = 100,494 × 100,494
4. Step 4: Simplify right side
   46,077x = 10,099,044,036
5. Step 5: Solve for x
   x = 10,099,044,036/46,077
6. Step 6: Final answer
   x = 219,177.55