Finding the Third Proportional to 100,664.50 and 219,042

Step by Step Solution

1. Step 1: Write the proportion equation
   100,664.50 : 219,042 = 219,042 : x
2. Step 2: Convert to fraction form
   100,664.50/219,042 = 219,042/x
3. Step 3: Cross multiply
   100,664.50x = 219,042 × 219,042
4. Step 4: Simplify right side
   100,664.50x = 47,979,397,764
5. Step 5: Solve for x
   x = 47,979,397,764/100,664.50
6. Step 6: Final answer
   x = 476,626.79