Finding the Third Proportional to 189.47 and 429.94

Step by Step Solution

1. Step 1: Write the proportion equation
   189.47 : 429.94 = 429.94 : x
2. Step 2: Convert to fraction form
   189.47/429.94 = 429.94/x
3. Step 3: Cross multiply
   189.47x = 429.94 × 429.94
4. Step 4: Simplify right side
   189.47x = 184,846.25
5. Step 5: Solve for x
   x = 184,846.25/189.47
6. Step 6: Final answer
   x = 975.60