Finding the Third Proportional to 85,094 and 182,824

Step by Step Solution

1. Step 1: Write the proportion equation
   85,094 : 182,824 = 182,824 : x
2. Step 2: Convert to fraction form
   85,094/182,824 = 182,824/x
3. Step 3: Cross multiply
   85,094x = 182,824 × 182,824
4. Step 4: Simplify right side
   85,094x = 33,424,614,976
5. Step 5: Solve for x
   x = 33,424,614,976/85,094
6. Step 6: Final answer
   x = 392,796.38