Finding the Third Proportional to 213,380 and 465,160

Step by Step Solution

1. Step 1: Write the proportion equation
   213,380 : 465,160 = 465,160 : x
2. Step 2: Convert to fraction form
   213,380/465,160 = 465,160/x
3. Step 3: Cross multiply
   213,380x = 465,160 × 465,160
4. Step 4: Simplify right side
   213,380x = 216,373,825,600
5. Step 5: Solve for x
   x = 216,373,825,600/213,380
6. Step 6: Final answer
   x = 1,014,030.49