Finding the Third Proportional to 293,952 and 638,016

Step by Step Solution

1. Step 1: Write the proportion equation
   293,952 : 638,016 = 638,016 : x
2. Step 2: Convert to fraction form
   293,952/638,016 = 638,016/x
3. Step 3: Cross multiply
   293,952x = 638,016 × 638,016
4. Step 4: Simplify right side
   293,952x = 407,064,416,256
5. Step 5: Solve for x
   x = 407,064,416,256/293,952
6. Step 6: Final answer
   x = 1,384,798.93