Finding the Third Proportional to 213,870 and 464,166

Step by Step Solution

1. Step 1: Write the proportion equation
   213,870 : 464,166 = 464,166 : x
2. Step 2: Convert to fraction form
   213,870/464,166 = 464,166/x
3. Step 3: Cross multiply
   213,870x = 464,166 × 464,166
4. Step 4: Simplify right side
   213,870x = 215,450,075,556
5. Step 5: Solve for x
   x = 215,450,075,556/213,870
6. Step 6: Final answer
   x = 1,007,388.02