Finding the Third Proportional to 51,948 and 111,095

Step by Step Solution

1. Step 1: Write the proportion equation
   51,948 : 111,095 = 111,095 : x
2. Step 2: Convert to fraction form
   51,948/111,095 = 111,095/x
3. Step 3: Cross multiply
   51,948x = 111,095 × 111,095
4. Step 4: Simplify right side
   51,948x = 12,342,099,025
5. Step 5: Solve for x
   x = 12,342,099,025/51,948
6. Step 6: Final answer
   x = 237,585.64