Finding the Third Proportional to 214,876 and 465,176

Step by Step Solution

1. Step 1: Write the proportion equation
   214,876 : 465,176 = 465,176 : x
2. Step 2: Convert to fraction form
   214,876/465,176 = 465,176/x
3. Step 3: Cross multiply
   214,876x = 465,176 × 465,176
4. Step 4: Simplify right side
   214,876x = 216,388,710,976
5. Step 5: Solve for x
   x = 216,388,710,976/214,876
6. Step 6: Final answer
   x = 1,007,039.93