Finding the Third Proportional to 116,020 and 245,768

Step by Step Solution

1. Step 1: Write the proportion equation
   116,020 : 245,768 = 245,768 : x
2. Step 2: Convert to fraction form
   116,020/245,768 = 245,768/x
3. Step 3: Cross multiply
   116,020x = 245,768 × 245,768
4. Step 4: Simplify right side
   116,020x = 60,401,909,824
5. Step 5: Solve for x
   x = 60,401,909,824/116,020
6. Step 6: Final answer
   x = 520,616.36