Finding the Third Proportional to 36,066 and 78,218

Step by Step Solution

1. Step 1: Write the proportion equation
   36,066 : 78,218 = 78,218 : x
2. Step 2: Convert to fraction form
   36,066/78,218 = 78,218/x
3. Step 3: Cross multiply
   36,066x = 78,218 × 78,218
4. Step 4: Simplify right side
   36,066x = 6,118,055,524
5. Step 5: Solve for x
   x = 6,118,055,524/36,066
6. Step 6: Final answer
   x = 169,634.99