Finding the Third Proportional to 63.19 and 140.72

Step by Step Solution

1. Step 1: Write the proportion equation
   63.19 : 140.72 = 140.72 : x
2. Step 2: Convert to fraction form
   63.19/140.72 = 140.72/x
3. Step 3: Cross multiply
   63.19x = 140.72 × 140.72
4. Step 4: Simplify right side
   63.19x = 19,801.77
5. Step 5: Solve for x
   x = 19,801.77/63.19
6. Step 6: Final answer
   x = 313.38