Finding the Third Proportional to 48,834 and 105,444

Step by Step Solution

1. Step 1: Write the proportion equation
   48,834 : 105,444 = 105,444 : x
2. Step 2: Convert to fraction form
   48,834/105,444 = 105,444/x
3. Step 3: Cross multiply
   48,834x = 105,444 × 105,444
4. Step 4: Simplify right side
   48,834x = 11,118,437,136
5. Step 5: Solve for x
   x = 11,118,437,136/48,834
6. Step 6: Final answer
   x = 227,678.20