Finding the Third Proportional to 401,460 and 872,256

Step by Step Solution

1. Step 1: Write the proportion equation
   401,460 : 872,256 = 872,256 : x
2. Step 2: Convert to fraction form
   401,460/872,256 = 872,256/x
3. Step 3: Cross multiply
   401,460x = 872,256 × 872,256
4. Step 4: Simplify right side
   401,460x = 760,830,529,536
5. Step 5: Solve for x
   x = 760,830,529,536/401,460
6. Step 6: Final answer
   x = 1,895,158.99