Finding the Third Proportional to 144,970 and 294,014

Step by Step Solution

1. Step 1: Write the proportion equation
   144,970 : 294,014 = 294,014 : x
2. Step 2: Convert to fraction form
   144,970/294,014 = 294,014/x
3. Step 3: Cross multiply
   144,970x = 294,014 × 294,014
4. Step 4: Simplify right side
   144,970x = 86,444,232,196
5. Step 5: Solve for x
   x = 86,444,232,196/144,970
6. Step 6: Final answer
   x = 596,290.49