Finding the Third Proportional to 127,658 and 194,943

Step by Step Solution

1. Step 1: Write the proportion equation
   127,658 : 194,943 = 194,943 : x
2. Step 2: Convert to fraction form
   127,658/194,943 = 194,943/x
3. Step 3: Cross multiply
   127,658x = 194,943 × 194,943
4. Step 4: Simplify right side
   127,658x = 38,002,773,249
5. Step 5: Solve for x
   x = 38,002,773,249/127,658
6. Step 6: Final answer
   x = 297,692.06