Finding the Third Proportional to 82,962 and 182,052

Step by Step Solution

1. Step 1: Write the proportion equation
   82,962 : 182,052 = 182,052 : x
2. Step 2: Convert to fraction form
   82,962/182,052 = 182,052/x
3. Step 3: Cross multiply
   82,962x = 182,052 × 182,052
4. Step 4: Simplify right side
   82,962x = 33,142,930,704
5. Step 5: Solve for x
   x = 33,142,930,704/82,962
6. Step 6: Final answer
   x = 399,495.32