Finding the Third Proportional to 48,182 and 105,436

Step by Step Solution

1. Step 1: Write the proportion equation
   48,182 : 105,436 = 105,436 : x
2. Step 2: Convert to fraction form
   48,182/105,436 = 105,436/x
3. Step 3: Cross multiply
   48,182x = 105,436 × 105,436
4. Step 4: Simplify right side
   48,182x = 11,116,750,096
5. Step 5: Solve for x
   x = 11,116,750,096/48,182
6. Step 6: Final answer
   x = 230,724.13