Finding the Third Proportional to 144,826 and 302,895

Step by Step Solution

1. Step 1: Write the proportion equation
   144,826 : 302,895 = 302,895 : x
2. Step 2: Convert to fraction form
   144,826/302,895 = 302,895/x
3. Step 3: Cross multiply
   144,826x = 302,895 × 302,895
4. Step 4: Simplify right side
   144,826x = 91,745,381,025
5. Step 5: Solve for x
   x = 91,745,381,025/144,826
6. Step 6: Final answer
   x = 633,486.95