Finding the Third Proportional to 199.78 and 429.52

Step by Step Solution

1. Step 1: Write the proportion equation
   199.78 : 429.52 = 429.52 : x
2. Step 2: Convert to fraction form
   199.78/429.52 = 429.52/x
3. Step 3: Cross multiply
   199.78x = 429.52 × 429.52
4. Step 4: Simplify right side
   199.78x = 184,483.67
5. Step 5: Solve for x
   x = 184,483.67/199.78
6. Step 6: Final answer
   x = 923.43