Finding the Third Proportional to 100,650 and 205,670

Step by Step Solution

1. Step 1: Write the proportion equation
   100,650 : 205,670 = 205,670 : x
2. Step 2: Convert to fraction form
   100,650/205,670 = 205,670/x
3. Step 3: Cross multiply
   100,650x = 205,670 × 205,670
4. Step 4: Simplify right side
   100,650x = 42,300,148,900
5. Step 5: Solve for x
   x = 42,300,148,900/100,650
6. Step 6: Final answer
   x = 420,269.74