Finding the Third Proportional to 144,969 and 294,015

Step by Step Solution

1. Step 1: Write the proportion equation
   144,969 : 294,015 = 294,015 : x
2. Step 2: Convert to fraction form
   144,969/294,015 = 294,015/x
3. Step 3: Cross multiply
   144,969x = 294,015 × 294,015
4. Step 4: Simplify right side
   144,969x = 86,444,820,225
5. Step 5: Solve for x
   x = 86,444,820,225/144,969
6. Step 6: Final answer
   x = 596,298.66