Finding the Third Proportional to 83,655 and 179,946

Step by Step Solution

1. Step 1: Write the proportion equation
   83,655 : 179,946 = 179,946 : x
2. Step 2: Convert to fraction form
   83,655/179,946 = 179,946/x
3. Step 3: Cross multiply
   83,655x = 179,946 × 179,946
4. Step 4: Simplify right side
   83,655x = 32,380,562,916
5. Step 5: Solve for x
   x = 32,380,562,916/83,655
6. Step 6: Final answer
   x = 387,072.65