Finding the Third Proportional to 78,832 and 182,311

Step by Step Solution

1. Step 1: Write the proportion equation
   78,832 : 182,311 = 182,311 : x
2. Step 2: Convert to fraction form
   78,832/182,311 = 182,311/x
3. Step 3: Cross multiply
   78,832x = 182,311 × 182,311
4. Step 4: Simplify right side
   78,832x = 33,237,300,721
5. Step 5: Solve for x
   x = 33,237,300,721/78,832
6. Step 6: Final answer
   x = 421,621.94