Finding the Third Proportional to 46,834 and 89,348

Step by Step Solution

1. Step 1: Write the proportion equation
   46,834 : 89,348 = 89,348 : x
2. Step 2: Convert to fraction form
   46,834/89,348 = 89,348/x
3. Step 3: Cross multiply
   46,834x = 89,348 × 89,348
4. Step 4: Simplify right side
   46,834x = 7,983,065,104
5. Step 5: Solve for x
   x = 7,983,065,104/46,834
6. Step 6: Final answer
   x = 170,454.48