Finding the Third Proportional to 100,165.50 and 204,042

Step by Step Solution

1. Step 1: Write the proportion equation
   100,165.50 : 204,042 = 204,042 : x
2. Step 2: Convert to fraction form
   100,165.50/204,042 = 204,042/x
3. Step 3: Cross multiply
   100,165.50x = 204,042 × 204,042
4. Step 4: Simplify right side
   100,165.50x = 41,633,137,764
5. Step 5: Solve for x
   x = 41,633,137,764/100,165.50
6. Step 6: Final answer
   x = 415,643.49