Finding the Third Proportional to 189.50 and 414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189.50 : 414.50 = 414.50 : x
2. Step 2: Convert to fraction form
   189.50/414.50 = 414.50/x
3. Step 3: Cross multiply
   189.50x = 414.50 × 414.50
4. Step 4: Simplify right side
   189.50x = 171,810.25
5. Step 5: Solve for x
   x = 171,810.25/189.50
6. Step 6: Final answer
   x = 906.65