Finding the Third Proportional to 82,076 and 134,009

Step by Step Solution

1. Step 1: Write the proportion equation
   82,076 : 134,009 = 134,009 : x
2. Step 2: Convert to fraction form
   82,076/134,009 = 134,009/x
3. Step 3: Cross multiply
   82,076x = 134,009 × 134,009
4. Step 4: Simplify right side
   82,076x = 17,958,412,081
5. Step 5: Solve for x
   x = 17,958,412,081/82,076
6. Step 6: Final answer
   x = 218,802.23