Finding the Third Proportional to 139.77 and 152.23

Step by Step Solution

1. Step 1: Write the proportion equation
   139.77 : 152.23 = 152.23 : x
2. Step 2: Convert to fraction form
   139.77/152.23 = 152.23/x
3. Step 3: Cross multiply
   139.77x = 152.23 × 152.23
4. Step 4: Simplify right side
   139.77x = 23,174.26
5. Step 5: Solve for x
   x = 23,174.26/139.77
6. Step 6: Final answer
   x = 165.80