Finding the Third Proportional to 582,345 and 1,234,665

Step by Step Solution

1. Step 1: Write the proportion equation
   582,345 : 1,234,665 = 1,234,665 : x
2. Step 2: Convert to fraction form
   582,345/1,234,665 = 1,234,665/x
3. Step 3: Cross multiply
   582,345x = 1,234,665 × 1,234,665
4. Step 4: Simplify right side
   582,345x = 1,524,397,662,225
5. Step 5: Solve for x
   x = 1,524,397,662,225/582,345
6. Step 6: Final answer
   x = 2,617,688.25