Finding the Third Proportional to 82,074 and 134,006

Step by Step Solution

1. Step 1: Write the proportion equation
   82,074 : 134,006 = 134,006 : x
2. Step 2: Convert to fraction form
   82,074/134,006 = 134,006/x
3. Step 3: Cross multiply
   82,074x = 134,006 × 134,006
4. Step 4: Simplify right side
   82,074x = 17,957,608,036
5. Step 5: Solve for x
   x = 17,957,608,036/82,074
6. Step 6: Final answer
   x = 218,797.77