Finding the Third Proportional to 400,084 and 872,064

Step by Step Solution

1. Step 1: Write the proportion equation
   400,084 : 872,064 = 872,064 : x
2. Step 2: Convert to fraction form
   400,084/872,064 = 872,064/x
3. Step 3: Cross multiply
   400,084x = 872,064 × 872,064
4. Step 4: Simplify right side
   400,084x = 760,495,620,096
5. Step 5: Solve for x
   x = 760,495,620,096/400,084
6. Step 6: Final answer
   x = 1,900,839.87