Finding the Third Proportional to 162,783 and 357,078

Step by Step Solution

1. Step 1: Write the proportion equation
   162,783 : 357,078 = 357,078 : x
2. Step 2: Convert to fraction form
   162,783/357,078 = 357,078/x
3. Step 3: Cross multiply
   162,783x = 357,078 × 357,078
4. Step 4: Simplify right side
   162,783x = 127,504,698,084
5. Step 5: Solve for x
   x = 127,504,698,084/162,783
6. Step 6: Final answer
   x = 783,280.18