Finding the Third Proportional to 132,824 and 286,384

Step by Step Solution

1. Step 1: Write the proportion equation
   132,824 : 286,384 = 286,384 : x
2. Step 2: Convert to fraction form
   132,824/286,384 = 286,384/x
3. Step 3: Cross multiply
   132,824x = 286,384 × 286,384
4. Step 4: Simplify right side
   132,824x = 82,015,795,456
5. Step 5: Solve for x
   x = 82,015,795,456/132,824
6. Step 6: Final answer
   x = 617,477.23