Finding the Third Proportional to 308,425 and 460,078

Step by Step Solution

1. Step 1: Write the proportion equation
   308,425 : 460,078 = 460,078 : x
2. Step 2: Convert to fraction form
   308,425/460,078 = 460,078/x
3. Step 3: Cross multiply
   308,425x = 460,078 × 460,078
4. Step 4: Simplify right side
   308,425x = 211,671,766,084
5. Step 5: Solve for x
   x = 211,671,766,084/308,425
6. Step 6: Final answer
   x = 686,298.99