Finding the Third Proportional to 82,966 and 182,060

Step by Step Solution

1. Step 1: Write the proportion equation
   82,966 : 182,060 = 182,060 : x
2. Step 2: Convert to fraction form
   82,966/182,060 = 182,060/x
3. Step 3: Cross multiply
   82,966x = 182,060 × 182,060
4. Step 4: Simplify right side
   82,966x = 33,145,843,600
5. Step 5: Solve for x
   x = 33,145,843,600/82,966
6. Step 6: Final answer
   x = 399,511.17