Finding the Third Proportional to 46,832 and 89,344

Step by Step Solution

1. Step 1: Write the proportion equation
   46,832 : 89,344 = 89,344 : x
2. Step 2: Convert to fraction form
   46,832/89,344 = 89,344/x
3. Step 3: Cross multiply
   46,832x = 89,344 × 89,344
4. Step 4: Simplify right side
   46,832x = 7,982,350,336
5. Step 5: Solve for x
   x = 7,982,350,336/46,832
6. Step 6: Final answer
   x = 170,446.50