Finding the Third Proportional to 52,097 and 112,105

Step by Step Solution

1. Step 1: Write the proportion equation
   52,097 : 112,105 = 112,105 : x
2. Step 2: Convert to fraction form
   52,097/112,105 = 112,105/x
3. Step 3: Cross multiply
   52,097x = 112,105 × 112,105
4. Step 4: Simplify right side
   52,097x = 12,567,531,025
5. Step 5: Solve for x
   x = 12,567,531,025/52,097
6. Step 6: Final answer
   x = 241,233.30