Finding the Third Proportional to 85.83 and 125.79

Step by Step Solution

1. Step 1: Write the proportion equation
   85.83 : 125.79 = 125.79 : x
2. Step 2: Convert to fraction form
   85.83/125.79 = 125.79/x
3. Step 3: Cross multiply
   85.83x = 125.79 × 125.79
4. Step 4: Simplify right side
   85.83x = 15,822.89
5. Step 5: Solve for x
   x = 15,822.89/85.83
6. Step 6: Final answer
   x = 184.36