Finding the Third Proportional to 166,046 and 360,016

Step by Step Solution

1. Step 1: Write the proportion equation
   166,046 : 360,016 = 360,016 : x
2. Step 2: Convert to fraction form
   166,046/360,016 = 360,016/x
3. Step 3: Cross multiply
   166,046x = 360,016 × 360,016
4. Step 4: Simplify right side
   166,046x = 129,611,520,256
5. Step 5: Solve for x
   x = 129,611,520,256/166,046
6. Step 6: Final answer
   x = 780,575.99