Finding the Third Proportional to 83,667.94 and 127,462.78

Step by Step Solution

1. Step 1: Write the proportion equation
   83,667.94 : 127,462.78 = 127,462.78 : x
2. Step 2: Convert to fraction form
   83,667.94/127,462.78 = 127,462.78/x
3. Step 3: Cross multiply
   83,667.94x = 127,462.78 × 127,462.78
4. Step 4: Simplify right side
   83,667.94x = 16,246,760,603.99
5. Step 5: Solve for x
   x = 16,246,760,603.99/83,667.94
6. Step 6: Final answer
   x = 194,181.44