Finding the Third Proportional to 446.34 and 592.31

Step by Step Solution

1. Step 1: Write the proportion equation
   446.34 : 592.31 = 592.31 : x
2. Step 2: Convert to fraction form
   446.34/592.31 = 592.31/x
3. Step 3: Cross multiply
   446.34x = 592.31 × 592.31
4. Step 4: Simplify right side
   446.34x = 350,834.10
5. Step 5: Solve for x
   x = 350,834.10/446.34
6. Step 6: Final answer
   x = 786.02