Finding the Third Proportional to 294,661.50 and 643,296

Step by Step Solution

1. Step 1: Write the proportion equation
   294,661.50 : 643,296 = 643,296 : x
2. Step 2: Convert to fraction form
   294,661.50/643,296 = 643,296/x
3. Step 3: Cross multiply
   294,661.50x = 643,296 × 643,296
4. Step 4: Simplify right side
   294,661.50x = 413,829,743,616
5. Step 5: Solve for x
   x = 413,829,743,616/294,661.50
6. Step 6: Final answer
   x = 1,404,424.21