Finding the Third Proportional to 262,276 and 384,808

Step by Step Solution

1. Step 1: Write the proportion equation
   262,276 : 384,808 = 384,808 : x
2. Step 2: Convert to fraction form
   262,276/384,808 = 384,808/x
3. Step 3: Cross multiply
   262,276x = 384,808 × 384,808
4. Step 4: Simplify right side
   262,276x = 148,077,196,864
5. Step 5: Solve for x
   x = 148,077,196,864/262,276
6. Step 6: Final answer
   x = 564,585.39