Finding the Third Proportional to 203,128 and 309,016

Step by Step Solution

1. Step 1: Write the proportion equation
   203,128 : 309,016 = 309,016 : x
2. Step 2: Convert to fraction form
   203,128/309,016 = 309,016/x
3. Step 3: Cross multiply
   203,128x = 309,016 × 309,016
4. Step 4: Simplify right side
   203,128x = 95,490,888,256
5. Step 5: Solve for x
   x = 95,490,888,256/203,128
6. Step 6: Final answer
   x = 470,102.05