Finding the Third Proportional to 214,674 and 471,844

Step by Step Solution

1. Step 1: Write the proportion equation
   214,674 : 471,844 = 471,844 : x
2. Step 2: Convert to fraction form
   214,674/471,844 = 471,844/x
3. Step 3: Cross multiply
   214,674x = 471,844 × 471,844
4. Step 4: Simplify right side
   214,674x = 222,636,760,336
5. Step 5: Solve for x
   x = 222,636,760,336/214,674
6. Step 6: Final answer
   x = 1,037,092.34