Finding the Third Proportional to 82,967 and 182,062

Step by Step Solution

1. Step 1: Write the proportion equation
   82,967 : 182,062 = 182,062 : x
2. Step 2: Convert to fraction form
   82,967/182,062 = 182,062/x
3. Step 3: Cross multiply
   82,967x = 182,062 × 182,062
4. Step 4: Simplify right side
   82,967x = 33,146,571,844
5. Step 5: Solve for x
   x = 33,146,571,844/82,967
6. Step 6: Final answer
   x = 399,515.13