Finding the Third Proportional to 48,097 and 105,045

Step by Step Solution

1. Step 1: Write the proportion equation
   48,097 : 105,045 = 105,045 : x
2. Step 2: Convert to fraction form
   48,097/105,045 = 105,045/x
3. Step 3: Cross multiply
   48,097x = 105,045 × 105,045
4. Step 4: Simplify right side
   48,097x = 11,034,452,025
5. Step 5: Solve for x
   x = 11,034,452,025/48,097
6. Step 6: Final answer
   x = 229,420.80