Finding the Third Proportional to 257.34 and 370.83

Step by Step Solution

1. Step 1: Write the proportion equation
   257.34 : 370.83 = 370.83 : x
2. Step 2: Convert to fraction form
   257.34/370.83 = 370.83/x
3. Step 3: Cross multiply
   257.34x = 370.83 × 370.83
4. Step 4: Simplify right side
   257.34x = 137,513.50
5. Step 5: Solve for x
   x = 137,513.50/257.34
6. Step 6: Final answer
   x = 534.36