Finding the Third Proportional to 100,640 and 205,650

Step by Step Solution

1. Step 1: Write the proportion equation
   100,640 : 205,650 = 205,650 : x
2. Step 2: Convert to fraction form
   100,640/205,650 = 205,650/x
3. Step 3: Cross multiply
   100,640x = 205,650 × 205,650
4. Step 4: Simplify right side
   100,640x = 42,291,922,500
5. Step 5: Solve for x
   x = 42,291,922,500/100,640
6. Step 6: Final answer
   x = 420,229.75