Finding the Third Proportional to 76.50 and 189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76.50 : 189.50 = 189.50 : x
2. Step 2: Convert to fraction form
   76.50/189.50 = 189.50/x
3. Step 3: Cross multiply
   76.50x = 189.50 × 189.50
4. Step 4: Simplify right side
   76.50x = 35,910.25
5. Step 5: Solve for x
   x = 35,910.25/76.50
6. Step 6: Final answer
   x = 469.42