Finding the Third Proportional to 189.25 and 436.25

Step by Step Solution

1. Step 1: Write the proportion equation
   189.25 : 436.25 = 436.25 : x
2. Step 2: Convert to fraction form
   189.25/436.25 = 436.25/x
3. Step 3: Cross multiply
   189.25x = 436.25 × 436.25
4. Step 4: Simplify right side
   189.25x = 190,314.06
5. Step 5: Solve for x
   x = 190,314.06/189.25
6. Step 6: Final answer
   x = 1,005.62