Finding the Third Proportional to 70,300 and 165,946

Step by Step Solution

1. Step 1: Write the proportion equation
   70,300 : 165,946 = 165,946 : x
2. Step 2: Convert to fraction form
   70,300/165,946 = 165,946/x
3. Step 3: Cross multiply
   70,300x = 165,946 × 165,946
4. Step 4: Simplify right side
   70,300x = 27,538,074,916
5. Step 5: Solve for x
   x = 27,538,074,916/70,300
6. Step 6: Final answer
   x = 391,722.26