Finding the Third Proportional to 83,665 and 122,706

Step by Step Solution

1. Step 1: Write the proportion equation
   83,665 : 122,706 = 122,706 : x
2. Step 2: Convert to fraction form
   83,665/122,706 = 122,706/x
3. Step 3: Cross multiply
   83,665x = 122,706 × 122,706
4. Step 4: Simplify right side
   83,665x = 15,056,762,436
5. Step 5: Solve for x
   x = 15,056,762,436/83,665
6. Step 6: Final answer
   x = 179,964.89