Finding the Third Proportional to 89.86 and 193.01

Step by Step Solution

1. Step 1: Write the proportion equation
   89.86 : 193.01 = 193.01 : x
2. Step 2: Convert to fraction form
   89.86/193.01 = 193.01/x
3. Step 3: Cross multiply
   89.86x = 193.01 × 193.01
4. Step 4: Simplify right side
   89.86x = 37,252.02
5. Step 5: Solve for x
   x = 37,252.02/89.86
6. Step 6: Final answer
   x = 414.56