Finding the Third Proportional to 78,066 and 171,684

Step by Step Solution

1. Step 1: Write the proportion equation
   78,066 : 171,684 = 171,684 : x
2. Step 2: Convert to fraction form
   78,066/171,684 = 171,684/x
3. Step 3: Cross multiply
   78,066x = 171,684 × 171,684
4. Step 4: Simplify right side
   78,066x = 29,475,395,856
5. Step 5: Solve for x
   x = 29,475,395,856/78,066
6. Step 6: Final answer
   x = 377,570.21