Finding the Third Proportional to 48,648 and 105,557

Step by Step Solution

1. Step 1: Write the proportion equation
   48,648 : 105,557 = 105,557 : x
2. Step 2: Convert to fraction form
   48,648/105,557 = 105,557/x
3. Step 3: Cross multiply
   48,648x = 105,557 × 105,557
4. Step 4: Simplify right side
   48,648x = 11,142,280,249
5. Step 5: Solve for x
   x = 11,142,280,249/48,648
6. Step 6: Final answer
   x = 229,038.81