Finding the Third Proportional to 193.69 and 424.31

Step by Step Solution

1. Step 1: Write the proportion equation
   193.69 : 424.31 = 424.31 : x
2. Step 2: Convert to fraction form
   193.69/424.31 = 424.31/x
3. Step 3: Cross multiply
   193.69x = 424.31 × 424.31
4. Step 4: Simplify right side
   193.69x = 180,041.10
5. Step 5: Solve for x
   x = 180,041.10/193.69
6. Step 6: Final answer
   x = 929.54