Finding the Third Proportional to 48,240 and 105,410

Step by Step Solution

1. Step 1: Write the proportion equation
   48,240 : 105,410 = 105,410 : x
2. Step 2: Convert to fraction form
   48,240/105,410 = 105,410/x
3. Step 3: Cross multiply
   48,240x = 105,410 × 105,410
4. Step 4: Simplify right side
   48,240x = 11,111,268,100
5. Step 5: Solve for x
   x = 11,111,268,100/48,240
6. Step 6: Final answer
   x = 230,333.09