Finding the Third Proportional to 293,384 and 643,792

Step by Step Solution

1. Step 1: Write the proportion equation
   293,384 : 643,792 = 643,792 : x
2. Step 2: Convert to fraction form
   293,384/643,792 = 643,792/x
3. Step 3: Cross multiply
   293,384x = 643,792 × 643,792
4. Step 4: Simplify right side
   293,384x = 414,468,139,264
5. Step 5: Solve for x
   x = 414,468,139,264/293,384
6. Step 6: Final answer
   x = 1,412,715.55