Finding the Third Proportional to 142,096 and 310,908

Step by Step Solution

1. Step 1: Write the proportion equation
   142,096 : 310,908 = 310,908 : x
2. Step 2: Convert to fraction form
   142,096/310,908 = 310,908/x
3. Step 3: Cross multiply
   142,096x = 310,908 × 310,908
4. Step 4: Simplify right side
   142,096x = 96,663,784,464
5. Step 5: Solve for x
   x = 96,663,784,464/142,096
6. Step 6: Final answer
   x = 680,270.98