Finding the Third Proportional to 101.69 and 192.88

Step by Step Solution

1. Step 1: Write the proportion equation
   101.69 : 192.88 = 192.88 : x
2. Step 2: Convert to fraction form
   101.69/192.88 = 192.88/x
3. Step 3: Cross multiply
   101.69x = 192.88 × 192.88
4. Step 4: Simplify right side
   101.69x = 37,200.77
5. Step 5: Solve for x
   x = 37,200.77/101.69
6. Step 6: Final answer
   x = 365.83