Finding the Third Proportional to 144,970 and 294,038

Step by Step Solution

1. Step 1: Write the proportion equation
   144,970 : 294,038 = 294,038 : x
2. Step 2: Convert to fraction form
   144,970/294,038 = 294,038/x
3. Step 3: Cross multiply
   144,970x = 294,038 × 294,038
4. Step 4: Simplify right side
   144,970x = 86,458,345,444
5. Step 5: Solve for x
   x = 86,458,345,444/144,970
6. Step 6: Final answer
   x = 596,387.84