Finding the Third Proportional to 104,967 and 206,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   104,967 : 206,293.50 = 206,293.50 : x
2. Step 2: Convert to fraction form
   104,967/206,293.50 = 206,293.50/x
3. Step 3: Cross multiply
   104,967x = 206,293.50 × 206,293.50
4. Step 4: Simplify right side
   104,967x = 42,557,008,142.25
5. Step 5: Solve for x
   x = 42,557,008,142.25/104,967
6. Step 6: Final answer
   x = 405,432.26