Finding the Third Proportional to 70,320 and 165,996

Step by Step Solution

1. Step 1: Write the proportion equation
   70,320 : 165,996 = 165,996 : x
2. Step 2: Convert to fraction form
   70,320/165,996 = 165,996/x
3. Step 3: Cross multiply
   70,320x = 165,996 × 165,996
4. Step 4: Simplify right side
   70,320x = 27,554,672,016
5. Step 5: Solve for x
   x = 27,554,672,016/70,320
6. Step 6: Final answer
   x = 391,846.87