Finding the Third Proportional to 294,662 and 643,300

Step by Step Solution

1. Step 1: Write the proportion equation
   294,662 : 643,300 = 643,300 : x
2. Step 2: Convert to fraction form
   294,662/643,300 = 643,300/x
3. Step 3: Cross multiply
   294,662x = 643,300 × 643,300
4. Step 4: Simplify right side
   294,662x = 413,834,890,000
5. Step 5: Solve for x
   x = 413,834,890,000/294,662
6. Step 6: Final answer
   x = 1,404,439.29