Finding the Third Proportional to 82,973 and 182,074

Step by Step Solution

1. Step 1: Write the proportion equation
   82,973 : 182,074 = 182,074 : x
2. Step 2: Convert to fraction form
   82,973/182,074 = 182,074/x
3. Step 3: Cross multiply
   82,973x = 182,074 × 182,074
4. Step 4: Simplify right side
   82,973x = 33,150,941,476
5. Step 5: Solve for x
   x = 33,150,941,476/82,973
6. Step 6: Final answer
   x = 399,538.90