Finding the Third Proportional to 76,418 and 166,012

Step by Step Solution

1. Step 1: Write the proportion equation
   76,418 : 166,012 = 166,012 : x
2. Step 2: Convert to fraction form
   76,418/166,012 = 166,012/x
3. Step 3: Cross multiply
   76,418x = 166,012 × 166,012
4. Step 4: Simplify right side
   76,418x = 27,559,984,144
5. Step 5: Solve for x
   x = 27,559,984,144/76,418
6. Step 6: Final answer
   x = 360,647.81