Finding the Third Proportional to 46,144 and 105,280

Step by Step Solution

1. Step 1: Write the proportion equation
   46,144 : 105,280 = 105,280 : x
2. Step 2: Convert to fraction form
   46,144/105,280 = 105,280/x
3. Step 3: Cross multiply
   46,144x = 105,280 × 105,280
4. Step 4: Simplify right side
   46,144x = 11,083,878,400
5. Step 5: Solve for x
   x = 11,083,878,400/46,144
6. Step 6: Final answer
   x = 240,201.94