Finding the Third Proportional to 116,824 and 245,320

Step by Step Solution

1. Step 1: Write the proportion equation
   116,824 : 245,320 = 245,320 : x
2. Step 2: Convert to fraction form
   116,824/245,320 = 245,320/x
3. Step 3: Cross multiply
   116,824x = 245,320 × 245,320
4. Step 4: Simplify right side
   116,824x = 60,181,902,400
5. Step 5: Solve for x
   x = 60,181,902,400/116,824
6. Step 6: Final answer
   x = 515,150.16