Finding the Third Proportional to 186 and 429.25

Step by Step Solution

1. Step 1: Write the proportion equation
   186 : 429.25 = 429.25 : x
2. Step 2: Convert to fraction form
   186/429.25 = 429.25/x
3. Step 3: Cross multiply
   186x = 429.25 × 429.25
4. Step 4: Simplify right side
   186x = 184,255.56
5. Step 5: Solve for x
   x = 184,255.56/186
6. Step 6: Final answer
   x = 990.62