Finding the Third Proportional to 49,945 and 109,094

Step by Step Solution

1. Step 1: Write the proportion equation
   49,945 : 109,094 = 109,094 : x
2. Step 2: Convert to fraction form
   49,945/109,094 = 109,094/x
3. Step 3: Cross multiply
   49,945x = 109,094 × 109,094
4. Step 4: Simplify right side
   49,945x = 11,901,500,836
5. Step 5: Solve for x
   x = 11,901,500,836/49,945
6. Step 6: Final answer
   x = 238,292.14