Finding the Third Proportional to 85,827 and 181,302

Step by Step Solution

1. Step 1: Write the proportion equation
   85,827 : 181,302 = 181,302 : x
2. Step 2: Convert to fraction form
   85,827/181,302 = 181,302/x
3. Step 3: Cross multiply
   85,827x = 181,302 × 181,302
4. Step 4: Simplify right side
   85,827x = 32,870,415,204
5. Step 5: Solve for x
   x = 32,870,415,204/85,827
6. Step 6: Final answer
   x = 382,984.55