Finding the Third Proportional to 82,974 and 182,076

Step by Step Solution

1. Step 1: Write the proportion equation
   82,974 : 182,076 = 182,076 : x
2. Step 2: Convert to fraction form
   82,974/182,076 = 182,076/x
3. Step 3: Cross multiply
   82,974x = 182,076 × 182,076
4. Step 4: Simplify right side
   82,974x = 33,151,669,776
5. Step 5: Solve for x
   x = 33,151,669,776/82,974
6. Step 6: Final answer
   x = 399,542.87