Finding the Third Proportional to 70,336 and 166,036

Step by Step Solution

1. Step 1: Write the proportion equation
   70,336 : 166,036 = 166,036 : x
2. Step 2: Convert to fraction form
   70,336/166,036 = 166,036/x
3. Step 3: Cross multiply
   70,336x = 166,036 × 166,036
4. Step 4: Simplify right side
   70,336x = 27,567,953,296
5. Step 5: Solve for x
   x = 27,567,953,296/70,336
6. Step 6: Final answer
   x = 391,946.56