Finding the Third Proportional to 70,838 and 154,554

Step by Step Solution

1. Step 1: Write the proportion equation
   70,838 : 154,554 = 154,554 : x
2. Step 2: Convert to fraction form
   70,838/154,554 = 154,554/x
3. Step 3: Cross multiply
   70,838x = 154,554 × 154,554
4. Step 4: Simplify right side
   70,838x = 23,886,938,916
5. Step 5: Solve for x
   x = 23,886,938,916/70,838
6. Step 6: Final answer
   x = 337,205.16