Finding the Third Proportional to 172,480 and 377,024

Step by Step Solution

1. Step 1: Write the proportion equation
   172,480 : 377,024 = 377,024 : x
2. Step 2: Convert to fraction form
   172,480/377,024 = 377,024/x
3. Step 3: Cross multiply
   172,480x = 377,024 × 377,024
4. Step 4: Simplify right side
   172,480x = 142,147,096,576
5. Step 5: Solve for x
   x = 142,147,096,576/172,480
6. Step 6: Final answer
   x = 824,136.69