Finding the Third Proportional to 216,000 and 470,768

Step by Step Solution

1. Step 1: Write the proportion equation
   216,000 : 470,768 = 470,768 : x
2. Step 2: Convert to fraction form
   216,000/470,768 = 470,768/x
3. Step 3: Cross multiply
   216,000x = 470,768 × 470,768
4. Step 4: Simplify right side
   216,000x = 221,622,509,824
5. Step 5: Solve for x
   x = 221,622,509,824/216,000
6. Step 6: Final answer
   x = 1,026,030.14