Finding the Third Proportional to 294,116 and 644,300

Step by Step Solution

1. Step 1: Write the proportion equation
   294,116 : 644,300 = 644,300 : x
2. Step 2: Convert to fraction form
   294,116/644,300 = 644,300/x
3. Step 3: Cross multiply
   294,116x = 644,300 × 644,300
4. Step 4: Simplify right side
   294,116x = 415,122,490,000
5. Step 5: Solve for x
   x = 415,122,490,000/294,116
6. Step 6: Final answer
   x = 1,411,424.37