Finding the Third Proportional to 78,066 and 171,441

Step by Step Solution

1. Step 1: Write the proportion equation
   78,066 : 171,441 = 171,441 : x
2. Step 2: Convert to fraction form
   78,066/171,441 = 171,441/x
3. Step 3: Cross multiply
   78,066x = 171,441 × 171,441
4. Step 4: Simplify right side
   78,066x = 29,392,016,481
5. Step 5: Solve for x
   x = 29,392,016,481/78,066
6. Step 6: Final answer
   x = 376,502.15