Finding the Third Proportional to 83,078 and 182,771

Step by Step Solution

1. Step 1: Write the proportion equation
   83,078 : 182,771 = 182,771 : x
2. Step 2: Convert to fraction form
   83,078/182,771 = 182,771/x
3. Step 3: Cross multiply
   83,078x = 182,771 × 182,771
4. Step 4: Simplify right side
   83,078x = 33,405,238,441
5. Step 5: Solve for x
   x = 33,405,238,441/83,078
6. Step 6: Final answer
   x = 402,094.88