Finding the Third Proportional to 80,780 and 134,164

Step by Step Solution

1. Step 1: Write the proportion equation
   80,780 : 134,164 = 134,164 : x
2. Step 2: Convert to fraction form
   80,780/134,164 = 134,164/x
3. Step 3: Cross multiply
   80,780x = 134,164 × 134,164
4. Step 4: Simplify right side
   80,780x = 17,999,978,896
5. Step 5: Solve for x
   x = 17,999,978,896/80,780
6. Step 6: Final answer
   x = 222,827.17