Finding the Third Proportional to 91.13 and 185.63

Step by Step Solution

1. Step 1: Write the proportion equation
   91.13 : 185.63 = 185.63 : x
2. Step 2: Convert to fraction form
   91.13/185.63 = 185.63/x
3. Step 3: Cross multiply
   91.13x = 185.63 × 185.63
4. Step 4: Simplify right side
   91.13x = 34,456.64
5. Step 5: Solve for x
   x = 34,456.64/91.13
6. Step 6: Final answer
   x = 378.13