Finding the Third Proportional to 83,916 and 182,052

Step by Step Solution

1. Step 1: Write the proportion equation
   83,916 : 182,052 = 182,052 : x
2. Step 2: Convert to fraction form
   83,916/182,052 = 182,052/x
3. Step 3: Cross multiply
   83,916x = 182,052 × 182,052
4. Step 4: Simplify right side
   83,916x = 33,142,930,704
5. Step 5: Solve for x
   x = 33,142,930,704/83,916
6. Step 6: Final answer
   x = 394,953.65