Finding the Third Proportional to 76,784 and 166,144

Step by Step Solution

1. Step 1: Write the proportion equation
   76,784 : 166,144 = 166,144 : x
2. Step 2: Convert to fraction form
   76,784/166,144 = 166,144/x
3. Step 3: Cross multiply
   76,784x = 166,144 × 166,144
4. Step 4: Simplify right side
   76,784x = 27,603,828,736
5. Step 5: Solve for x
   x = 27,603,828,736/76,784
6. Step 6: Final answer
   x = 359,499.75