Finding the Third Proportional to 83,082 and 182,778

Step by Step Solution

1. Step 1: Write the proportion equation
   83,082 : 182,778 = 182,778 : x
2. Step 2: Convert to fraction form
   83,082/182,778 = 182,778/x
3. Step 3: Cross multiply
   83,082x = 182,778 × 182,778
4. Step 4: Simplify right side
   83,082x = 33,407,797,284
5. Step 5: Solve for x
   x = 33,407,797,284/83,082
6. Step 6: Final answer
   x = 402,106.32