Finding the Third Proportional to 169.95 and 370.83

Step by Step Solution

1. Step 1: Write the proportion equation
   169.95 : 370.83 = 370.83 : x
2. Step 2: Convert to fraction form
   169.95/370.83 = 370.83/x
3. Step 3: Cross multiply
   169.95x = 370.83 × 370.83
4. Step 4: Simplify right side
   169.95x = 137,513.50
5. Step 5: Solve for x
   x = 137,513.50/169.95
6. Step 6: Final answer
   x = 809.16