Finding the Third Proportional to 100,648 and 205,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,648 : 205,665.50 = 205,665.50 : x
2. Step 2: Convert to fraction form
   100,648/205,665.50 = 205,665.50/x
3. Step 3: Cross multiply
   100,648x = 205,665.50 × 205,665.50
4. Step 4: Simplify right side
   100,648x = 42,298,297,890.25
5. Step 5: Solve for x
   x = 42,298,297,890.25/100,648
6. Step 6: Final answer
   x = 420,259.70