Finding the Third Proportional to 109.86 and 234.00

Step by Step Solution

1. Step 1: Write the proportion equation
   109.86 : 234.00 = 234.00 : x
2. Step 2: Convert to fraction form
   109.86/234.00 = 234.00/x
3. Step 3: Cross multiply
   109.86x = 234.00 × 234.00
4. Step 4: Simplify right side
   109.86x = 54,754.09
5. Step 5: Solve for x
   x = 54,754.09/109.86
6. Step 6: Final answer
   x = 498.38