Finding the Third Proportional to 222,166 and 477,164

Step by Step Solution

1. Step 1: Write the proportion equation
   222,166 : 477,164 = 477,164 : x
2. Step 2: Convert to fraction form
   222,166/477,164 = 477,164/x
3. Step 3: Cross multiply
   222,166x = 477,164 × 477,164
4. Step 4: Simplify right side
   222,166x = 227,685,482,896
5. Step 5: Solve for x
   x = 227,685,482,896/222,166
6. Step 6: Final answer
   x = 1,024,843.96