Finding the Third Proportional to 166,512 and 364,144

Step by Step Solution

1. Step 1: Write the proportion equation
   166,512 : 364,144 = 364,144 : x
2. Step 2: Convert to fraction form
   166,512/364,144 = 364,144/x
3. Step 3: Cross multiply
   166,512x = 364,144 × 364,144
4. Step 4: Simplify right side
   166,512x = 132,600,852,736
5. Step 5: Solve for x
   x = 132,600,852,736/166,512
6. Step 6: Final answer
   x = 796,344.12