Finding the Third Proportional to 93.66 and 145.86

Step by Step Solution

1. Step 1: Write the proportion equation
   93.66 : 145.86 = 145.86 : x
2. Step 2: Convert to fraction form
   93.66/145.86 = 145.86/x
3. Step 3: Cross multiply
   93.66x = 145.86 × 145.86
4. Step 4: Simplify right side
   93.66x = 21,276.10
5. Step 5: Solve for x
   x = 21,276.10/93.66
6. Step 6: Final answer
   x = 227.17