Finding the Third Proportional to 116,824 and 245,312

Step by Step Solution

1. Step 1: Write the proportion equation
   116,824 : 245,312 = 245,312 : x
2. Step 2: Convert to fraction form
   116,824/245,312 = 245,312/x
3. Step 3: Cross multiply
   116,824x = 245,312 × 245,312
4. Step 4: Simplify right side
   116,824x = 60,177,977,344
5. Step 5: Solve for x
   x = 60,177,977,344/116,824
6. Step 6: Final answer
   x = 515,116.56