Finding the Third Proportional to 100,647 and 205,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,647 : 205,663.50 = 205,663.50 : x
2. Step 2: Convert to fraction form
   100,647/205,663.50 = 205,663.50/x
3. Step 3: Cross multiply
   100,647x = 205,663.50 × 205,663.50
4. Step 4: Simplify right side
   100,647x = 42,297,475,232.25
5. Step 5: Solve for x
   x = 42,297,475,232.25/100,647
6. Step 6: Final answer
   x = 420,255.70