Finding the Third Proportional to 78,369 and 171,760

Step by Step Solution

1. Step 1: Write the proportion equation
   78,369 : 171,760 = 171,760 : x
2. Step 2: Convert to fraction form
   78,369/171,760 = 171,760/x
3. Step 3: Cross multiply
   78,369x = 171,760 × 171,760
4. Step 4: Simplify right side
   78,369x = 29,501,497,600
5. Step 5: Solve for x
   x = 29,501,497,600/78,369
6. Step 6: Final answer
   x = 376,443.46