Finding the Third Proportional to 127,024 and 274,136

Step by Step Solution

1. Step 1: Write the proportion equation
   127,024 : 274,136 = 274,136 : x
2. Step 2: Convert to fraction form
   127,024/274,136 = 274,136/x
3. Step 3: Cross multiply
   127,024x = 274,136 × 274,136
4. Step 4: Simplify right side
   127,024x = 75,150,546,496
5. Step 5: Solve for x
   x = 75,150,546,496/127,024
6. Step 6: Final answer
   x = 591,624.78