Finding the Third Proportional to 184,176 and 384,714

Step by Step Solution

1. Step 1: Write the proportion equation
   184,176 : 384,714 = 384,714 : x
2. Step 2: Convert to fraction form
   184,176/384,714 = 384,714/x
3. Step 3: Cross multiply
   184,176x = 384,714 × 384,714
4. Step 4: Simplify right side
   184,176x = 148,004,861,796
5. Step 5: Solve for x
   x = 148,004,861,796/184,176
6. Step 6: Final answer
   x = 803,605.58