Finding the Third Proportional to 179.51 and 370.27

Step by Step Solution

1. Step 1: Write the proportion equation
   179.51 : 370.27 = 370.27 : x
2. Step 2: Convert to fraction form
   179.51/370.27 = 370.27/x
3. Step 3: Cross multiply
   179.51x = 370.27 × 370.27
4. Step 4: Simplify right side
   179.51x = 137,096.63
5. Step 5: Solve for x
   x = 137,096.63/179.51
6. Step 6: Final answer
   x = 763.74