Finding the Third Proportional to 194,564 and 419,148

Step by Step Solution

1. Step 1: Write the proportion equation
   194,564 : 419,148 = 419,148 : x
2. Step 2: Convert to fraction form
   194,564/419,148 = 419,148/x
3. Step 3: Cross multiply
   194,564x = 419,148 × 419,148
4. Step 4: Simplify right side
   194,564x = 175,685,045,904
5. Step 5: Solve for x
   x = 175,685,045,904/194,564
6. Step 6: Final answer
   x = 902,967.90