Finding the Third Proportional to 214,522 and 471,054

Step by Step Solution

1. Step 1: Write the proportion equation
   214,522 : 471,054 = 471,054 : x
2. Step 2: Convert to fraction form
   214,522/471,054 = 471,054/x
3. Step 3: Cross multiply
   214,522x = 471,054 × 471,054
4. Step 4: Simplify right side
   214,522x = 221,891,870,916
5. Step 5: Solve for x
   x = 221,891,870,916/214,522
6. Step 6: Final answer
   x = 1,034,354.85