Finding the Third Proportional to 82,806 and 128,946

Step by Step Solution

1. Step 1: Write the proportion equation
   82,806 : 128,946 = 128,946 : x
2. Step 2: Convert to fraction form
   82,806/128,946 = 128,946/x
3. Step 3: Cross multiply
   82,806x = 128,946 × 128,946
4. Step 4: Simplify right side
   82,806x = 16,627,070,916
5. Step 5: Solve for x
   x = 16,627,070,916/82,806
6. Step 6: Final answer
   x = 200,795.48