Finding the Third Proportional to 185.63 and 430.31

Step by Step Solution

1. Step 1: Write the proportion equation
   185.63 : 430.31 = 430.31 : x
2. Step 2: Convert to fraction form
   185.63/430.31 = 430.31/x
3. Step 3: Cross multiply
   185.63x = 430.31 × 430.31
4. Step 4: Simplify right side
   185.63x = 185,168.85
5. Step 5: Solve for x
   x = 185,168.85/185.63
6. Step 6: Final answer
   x = 997.54