Finding the Third Proportional to 146,096 and 316,960

Step by Step Solution

1. Step 1: Write the proportion equation
   146,096 : 316,960 = 316,960 : x
2. Step 2: Convert to fraction form
   146,096/316,960 = 316,960/x
3. Step 3: Cross multiply
   146,096x = 316,960 × 316,960
4. Step 4: Simplify right side
   146,096x = 100,463,641,600
5. Step 5: Solve for x
   x = 100,463,641,600/146,096
6. Step 6: Final answer
   x = 687,654.98