Finding the Third Proportional to 74,096 and 150,944

Step by Step Solution

1. Step 1: Write the proportion equation
   74,096 : 150,944 = 150,944 : x
2. Step 2: Convert to fraction form
   74,096/150,944 = 150,944/x
3. Step 3: Cross multiply
   74,096x = 150,944 × 150,944
4. Step 4: Simplify right side
   74,096x = 22,784,091,136
5. Step 5: Solve for x
   x = 22,784,091,136/74,096
6. Step 6: Final answer
   x = 307,494.21