Finding the Third Proportional to 46,494 and 95,460

Step by Step Solution

1. Step 1: Write the proportion equation
   46,494 : 95,460 = 95,460 : x
2. Step 2: Convert to fraction form
   46,494/95,460 = 95,460/x
3. Step 3: Cross multiply
   46,494x = 95,460 × 95,460
4. Step 4: Simplify right side
   46,494x = 9,112,611,600
5. Step 5: Solve for x
   x = 9,112,611,600/46,494
6. Step 6: Final answer
   x = 195,995.43