Finding the Third Proportional to 215,616 and 470,784

Step by Step Solution

1. Step 1: Write the proportion equation
   215,616 : 470,784 = 470,784 : x
2. Step 2: Convert to fraction form
   215,616/470,784 = 470,784/x
3. Step 3: Cross multiply
   215,616x = 470,784 × 470,784
4. Step 4: Simplify right side
   215,616x = 221,637,574,656
5. Step 5: Solve for x
   x = 221,637,574,656/215,616
6. Step 6: Final answer
   x = 1,027,927.31