Finding the Third Proportional to 300,224 and 463,320

Step by Step Solution

1. Step 1: Write the proportion equation
   300,224 : 463,320 = 463,320 : x
2. Step 2: Convert to fraction form
   300,224/463,320 = 463,320/x
3. Step 3: Cross multiply
   300,224x = 463,320 × 463,320
4. Step 4: Simplify right side
   300,224x = 214,665,422,400
5. Step 5: Solve for x
   x = 214,665,422,400/300,224
6. Step 6: Final answer
   x = 715,017.53