Finding the Third Proportional to 127,586 and 298,004

Step by Step Solution

1. Step 1: Write the proportion equation
   127,586 : 298,004 = 298,004 : x
2. Step 2: Convert to fraction form
   127,586/298,004 = 298,004/x
3. Step 3: Cross multiply
   127,586x = 298,004 × 298,004
4. Step 4: Simplify right side
   127,586x = 88,806,384,016
5. Step 5: Solve for x
   x = 88,806,384,016/127,586
6. Step 6: Final answer
   x = 696,051.17