Finding the Third Proportional to 184,859.50 and 378,476

Step by Step Solution

1. Step 1: Write the proportion equation
   184,859.50 : 378,476 = 378,476 : x
2. Step 2: Convert to fraction form
   184,859.50/378,476 = 378,476/x
3. Step 3: Cross multiply
   184,859.50x = 378,476 × 378,476
4. Step 4: Simplify right side
   184,859.50x = 143,244,082,576
5. Step 5: Solve for x
   x = 143,244,082,576/184,859.50
6. Step 6: Final answer
   x = 774,880.83