Finding the Third Proportional to 301.31 and 536.06

Step by Step Solution

1. Step 1: Write the proportion equation
   301.31 : 536.06 = 536.06 : x
2. Step 2: Convert to fraction form
   301.31/536.06 = 536.06/x
3. Step 3: Cross multiply
   301.31x = 536.06 × 536.06
4. Step 4: Simplify right side
   301.31x = 287,363.00
5. Step 5: Solve for x
   x = 287,363.00/301.31
6. Step 6: Final answer
   x = 953.70