Finding the Third Proportional to 100,652 and 205,672

Step by Step Solution

1. Step 1: Write the proportion equation
   100,652 : 205,672 = 205,672 : x
2. Step 2: Convert to fraction form
   100,652/205,672 = 205,672/x
3. Step 3: Cross multiply
   100,652x = 205,672 × 205,672
4. Step 4: Simplify right side
   100,652x = 42,300,971,584
5. Step 5: Solve for x
   x = 42,300,971,584/100,652
6. Step 6: Final answer
   x = 420,269.56