Finding the Third Proportional to 1,014.94 and 1,199.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.94 : 1,199.06 = 1,199.06 : x
2. Step 2: Convert to fraction form
   1,014.94/1,199.06 = 1,199.06/x
3. Step 3: Cross multiply
   1,014.94x = 1,199.06 × 1,199.06
4. Step 4: Simplify right side
   1,014.94x = 1,437,750.88
5. Step 5: Solve for x
   x = 1,437,750.88/1,014.94
6. Step 6: Final answer
   x = 1,416.59