Finding the Third Proportional to 46,772 and 89,238

Step by Step Solution

1. Step 1: Write the proportion equation
   46,772 : 89,238 = 89,238 : x
2. Step 2: Convert to fraction form
   46,772/89,238 = 89,238/x
3. Step 3: Cross multiply
   46,772x = 89,238 × 89,238
4. Step 4: Simplify right side
   46,772x = 7,963,420,644
5. Step 5: Solve for x
   x = 7,963,420,644/46,772
6. Step 6: Final answer
   x = 170,260.43