Finding the Third Proportional to 589,388 and 1,286,736

Step by Step Solution

1. Step 1: Write the proportion equation
   589,388 : 1,286,736 = 1,286,736 : x
2. Step 2: Convert to fraction form
   589,388/1,286,736 = 1,286,736/x
3. Step 3: Cross multiply
   589,388x = 1,286,736 × 1,286,736
4. Step 4: Simplify right side
   589,388x = 1,655,689,533,696
5. Step 5: Solve for x
   x = 1,655,689,533,696/589,388
6. Step 6: Final answer
   x = 2,809,167.36