Finding the Third Proportional to 429,144 and 649,238

Step by Step Solution

1. Step 1: Write the proportion equation
   429,144 : 649,238 = 649,238 : x
2. Step 2: Convert to fraction form
   429,144/649,238 = 649,238/x
3. Step 3: Cross multiply
   429,144x = 649,238 × 649,238
4. Step 4: Simplify right side
   429,144x = 421,509,980,644
5. Step 5: Solve for x
   x = 421,509,980,644/429,144
6. Step 6: Final answer
   x = 982,211.05