Finding the Third Proportional to 215,316 and 471,456

Step by Step Solution

1. Step 1: Write the proportion equation
   215,316 : 471,456 = 471,456 : x
2. Step 2: Convert to fraction form
   215,316/471,456 = 471,456/x
3. Step 3: Cross multiply
   215,316x = 471,456 × 471,456
4. Step 4: Simplify right side
   215,316x = 222,270,759,936
5. Step 5: Solve for x
   x = 222,270,759,936/215,316
6. Step 6: Final answer
   x = 1,032,300.25