Finding the Third Proportional to 589,196.25 and 1,265,589

Step by Step Solution

1. Step 1: Write the proportion equation
   589,196.25 : 1,265,589 = 1,265,589 : x
2. Step 2: Convert to fraction form
   589,196.25/1,265,589 = 1,265,589/x
3. Step 3: Cross multiply
   589,196.25x = 1,265,589 × 1,265,589
4. Step 4: Simplify right side
   589,196.25x = 1,601,715,516,921
5. Step 5: Solve for x
   x = 1,601,715,516,921/589,196.25
6. Step 6: Final answer
   x = 2,718,475.41