Finding the Third Proportional to 398,654 and 872,056

Step by Step Solution

1. Step 1: Write the proportion equation
   398,654 : 872,056 = 872,056 : x
2. Step 2: Convert to fraction form
   398,654/872,056 = 872,056/x
3. Step 3: Cross multiply
   398,654x = 872,056 × 872,056
4. Step 4: Simplify right side
   398,654x = 760,481,667,136
5. Step 5: Solve for x
   x = 760,481,667,136/398,654
6. Step 6: Final answer
   x = 1,907,623.32