Finding the Third Proportional to 384.43 and 593.74

Step by Step Solution

1. Step 1: Write the proportion equation
   384.43 : 593.74 = 593.74 : x
2. Step 2: Convert to fraction form
   384.43/593.74 = 593.74/x
3. Step 3: Cross multiply
   384.43x = 593.74 × 593.74
4. Step 4: Simplify right side
   384.43x = 352,522.83
5. Step 5: Solve for x
   x = 352,522.83/384.43
6. Step 6: Final answer
   x = 916.99