Finding the Third Proportional to 311,064 and 488,049

Step by Step Solution

1. Step 1: Write the proportion equation
   311,064 : 488,049 = 488,049 : x
2. Step 2: Convert to fraction form
   311,064/488,049 = 488,049/x
3. Step 3: Cross multiply
   311,064x = 488,049 × 488,049
4. Step 4: Simplify right side
   311,064x = 238,191,826,401
5. Step 5: Solve for x
   x = 238,191,826,401/311,064
6. Step 6: Final answer
   x = 765,732.54