Finding the Third Proportional to 127,838 and 298,589

Step by Step Solution

1. Step 1: Write the proportion equation
   127,838 : 298,589 = 298,589 : x
2. Step 2: Convert to fraction form
   127,838/298,589 = 298,589/x
3. Step 3: Cross multiply
   127,838x = 298,589 × 298,589
4. Step 4: Simplify right side
   127,838x = 89,155,390,921
5. Step 5: Solve for x
   x = 89,155,390,921/127,838
6. Step 6: Final answer
   x = 697,409.15