Finding the Third Proportional to 290,256 and 448,320

Step by Step Solution

1. Step 1: Write the proportion equation
   290,256 : 448,320 = 448,320 : x
2. Step 2: Convert to fraction form
   290,256/448,320 = 448,320/x
3. Step 3: Cross multiply
   290,256x = 448,320 × 448,320
4. Step 4: Simplify right side
   290,256x = 200,990,822,400
5. Step 5: Solve for x
   x = 200,990,822,400/290,256
6. Step 6: Final answer
   x = 692,460.53