Finding the Third Proportional to 383.63 and 590.72

Step by Step Solution

1. Step 1: Write the proportion equation
   383.63 : 590.72 = 590.72 : x
2. Step 2: Convert to fraction form
   383.63/590.72 = 590.72/x
3. Step 3: Cross multiply
   383.63x = 590.72 × 590.72
4. Step 4: Simplify right side
   383.63x = 348,948.64
5. Step 5: Solve for x
   x = 348,948.64/383.63
6. Step 6: Final answer
   x = 909.61