Finding the Third Proportional to 82,005 and 133,908

Step by Step Solution

1. Step 1: Write the proportion equation
   82,005 : 133,908 = 133,908 : x
2. Step 2: Convert to fraction form
   82,005/133,908 = 133,908/x
3. Step 3: Cross multiply
   82,005x = 133,908 × 133,908
4. Step 4: Simplify right side
   82,005x = 17,931,352,464
5. Step 5: Solve for x
   x = 17,931,352,464/82,005
6. Step 6: Final answer
   x = 218,661.70