Finding the Third Proportional to 308,851 and 460,578

Step by Step Solution

1. Step 1: Write the proportion equation
   308,851 : 460,578 = 460,578 : x
2. Step 2: Convert to fraction form
   308,851/460,578 = 460,578/x
3. Step 3: Cross multiply
   308,851x = 460,578 × 460,578
4. Step 4: Simplify right side
   308,851x = 212,132,094,084
5. Step 5: Solve for x
   x = 212,132,094,084/308,851
6. Step 6: Final answer
   x = 686,842.83