Finding the Third Proportional to 95.34 and 139.64

Step by Step Solution

1. Step 1: Write the proportion equation
   95.34 : 139.64 = 139.64 : x
2. Step 2: Convert to fraction form
   95.34/139.64 = 139.64/x
3. Step 3: Cross multiply
   95.34x = 139.64 × 139.64
4. Step 4: Simplify right side
   95.34x = 19,499.50
5. Step 5: Solve for x
   x = 19,499.50/95.34
6. Step 6: Final answer
   x = 204.52