Finding the Third Proportional to 78,223 and 171,994

Step by Step Solution

1. Step 1: Write the proportion equation
   78,223 : 171,994 = 171,994 : x
2. Step 2: Convert to fraction form
   78,223/171,994 = 171,994/x
3. Step 3: Cross multiply
   78,223x = 171,994 × 171,994
4. Step 4: Simplify right side
   78,223x = 29,581,936,036
5. Step 5: Solve for x
   x = 29,581,936,036/78,223
6. Step 6: Final answer
   x = 378,174.40