Finding the Third Proportional to 78,404 and 171,508

Step by Step Solution

1. Step 1: Write the proportion equation
   78,404 : 171,508 = 171,508 : x
2. Step 2: Convert to fraction form
   78,404/171,508 = 171,508/x
3. Step 3: Cross multiply
   78,404x = 171,508 × 171,508
4. Step 4: Simplify right side
   78,404x = 29,414,994,064
5. Step 5: Solve for x
   x = 29,414,994,064/78,404
6. Step 6: Final answer
   x = 375,172.11