Finding the Third Proportional to 213,378 and 465,156

Step by Step Solution

1. Step 1: Write the proportion equation
   213,378 : 465,156 = 465,156 : x
2. Step 2: Convert to fraction form
   213,378/465,156 = 465,156/x
3. Step 3: Cross multiply
   213,378x = 465,156 × 465,156
4. Step 4: Simplify right side
   213,378x = 216,370,104,336
5. Step 5: Solve for x
   x = 216,370,104,336/213,378
6. Step 6: Final answer
   x = 1,014,022.55