Finding the Third Proportional to 78,380 and 166,444

Step by Step Solution

1. Step 1: Write the proportion equation
   78,380 : 166,444 = 166,444 : x
2. Step 2: Convert to fraction form
   78,380/166,444 = 166,444/x
3. Step 3: Cross multiply
   78,380x = 166,444 × 166,444
4. Step 4: Simplify right side
   78,380x = 27,703,605,136
5. Step 5: Solve for x
   x = 27,703,605,136/78,380
6. Step 6: Final answer
   x = 353,452.48