Finding the Third Proportional to 360,978 and 561,155

Step by Step Solution

1. Step 1: Write the proportion equation
   360,978 : 561,155 = 561,155 : x
2. Step 2: Convert to fraction form
   360,978/561,155 = 561,155/x
3. Step 3: Cross multiply
   360,978x = 561,155 × 561,155
4. Step 4: Simplify right side
   360,978x = 314,894,934,025
5. Step 5: Solve for x
   x = 314,894,934,025/360,978
6. Step 6: Final answer
   x = 872,338.30