Finding the Third Proportional to 253.31 and 380.72

Step by Step Solution

1. Step 1: Write the proportion equation
   253.31 : 380.72 = 380.72 : x
2. Step 2: Convert to fraction form
   253.31/380.72 = 380.72/x
3. Step 3: Cross multiply
   253.31x = 380.72 × 380.72
4. Step 4: Simplify right side
   253.31x = 144,946.77
5. Step 5: Solve for x
   x = 144,946.77/253.31
6. Step 6: Final answer
   x = 572.21