Finding the Third Proportional to 327,680 and 695,016

Step by Step Solution

1. Step 1: Write the proportion equation
   327,680 : 695,016 = 695,016 : x
2. Step 2: Convert to fraction form
   327,680/695,016 = 695,016/x
3. Step 3: Cross multiply
   327,680x = 695,016 × 695,016
4. Step 4: Simplify right side
   327,680x = 483,047,240,256
5. Step 5: Solve for x
   x = 483,047,240,256/327,680
6. Step 6: Final answer
   x = 1,474,143.19