Finding the Third Proportional to 589,322 and 1,264,665

Step by Step Solution

1. Step 1: Write the proportion equation
   589,322 : 1,264,665 = 1,264,665 : x
2. Step 2: Convert to fraction form
   589,322/1,264,665 = 1,264,665/x
3. Step 3: Cross multiply
   589,322x = 1,264,665 × 1,264,665
4. Step 4: Simplify right side
   589,322x = 1,599,377,562,225
5. Step 5: Solve for x
   x = 1,599,377,562,225/589,322
6. Step 6: Final answer
   x = 2,713,928.14