Finding the Third Proportional to 214,708 and 471,896

Step by Step Solution

1. Step 1: Write the proportion equation
   214,708 : 471,896 = 471,896 : x
2. Step 2: Convert to fraction form
   214,708/471,896 = 471,896/x
3. Step 3: Cross multiply
   214,708x = 471,896 × 471,896
4. Step 4: Simplify right side
   214,708x = 222,685,834,816
5. Step 5: Solve for x
   x = 222,685,834,816/214,708
6. Step 6: Final answer
   x = 1,037,156.67