Finding the Third Proportional to 107,136 and 224,064

Step by Step Solution

1. Step 1: Write the proportion equation
   107,136 : 224,064 = 224,064 : x
2. Step 2: Convert to fraction form
   107,136/224,064 = 224,064/x
3. Step 3: Cross multiply
   107,136x = 224,064 × 224,064
4. Step 4: Simplify right side
   107,136x = 50,204,676,096
5. Step 5: Solve for x
   x = 50,204,676,096/107,136
6. Step 6: Final answer
   x = 468,606.97