Finding the Third Proportional to 189.25 and 405.86

Step by Step Solution

1. Step 1: Write the proportion equation
   189.25 : 405.86 = 405.86 : x
2. Step 2: Convert to fraction form
   189.25/405.86 = 405.86/x
3. Step 3: Cross multiply
   189.25x = 405.86 × 405.86
4. Step 4: Simplify right side
   189.25x = 164,725.20
5. Step 5: Solve for x
   x = 164,725.20/189.25
6. Step 6: Final answer
   x = 870.41