Finding the Third Proportional to 127,830 and 200,091

Step by Step Solution

1. Step 1: Write the proportion equation
   127,830 : 200,091 = 200,091 : x
2. Step 2: Convert to fraction form
   127,830/200,091 = 200,091/x
3. Step 3: Cross multiply
   127,830x = 200,091 × 200,091
4. Step 4: Simplify right side
   127,830x = 40,036,408,281
5. Step 5: Solve for x
   x = 40,036,408,281/127,830
6. Step 6: Final answer
   x = 313,200.41