Finding the Third Proportional to 144,968 and 294,010

Step by Step Solution

1. Step 1: Write the proportion equation
   144,968 : 294,010 = 294,010 : x
2. Step 2: Convert to fraction form
   144,968/294,010 = 294,010/x
3. Step 3: Cross multiply
   144,968x = 294,010 × 294,010
4. Step 4: Simplify right side
   144,968x = 86,441,880,100
5. Step 5: Solve for x
   x = 86,441,880,100/144,968
6. Step 6: Final answer
   x = 596,282.49