Finding the Third Proportional to 127,832 and 200,094

Step by Step Solution

1. Step 1: Write the proportion equation
   127,832 : 200,094 = 200,094 : x
2. Step 2: Convert to fraction form
   127,832/200,094 = 200,094/x
3. Step 3: Cross multiply
   127,832x = 200,094 × 200,094
4. Step 4: Simplify right side
   127,832x = 40,037,608,836
5. Step 5: Solve for x
   x = 40,037,608,836/127,832
6. Step 6: Final answer
   x = 313,204.90