Finding the Third Proportional to 184,874 and 378,510

Step by Step Solution

1. Step 1: Write the proportion equation
   184,874 : 378,510 = 378,510 : x
2. Step 2: Convert to fraction form
   184,874/378,510 = 378,510/x
3. Step 3: Cross multiply
   184,874x = 378,510 × 378,510
4. Step 4: Simplify right side
   184,874x = 143,269,820,100
5. Step 5: Solve for x
   x = 143,269,820,100/184,874
6. Step 6: Final answer
   x = 774,959.27