Finding the Third Proportional to 194,769 and 419,123

Step by Step Solution

1. Step 1: Write the proportion equation
   194,769 : 419,123 = 419,123 : x
2. Step 2: Convert to fraction form
   194,769/419,123 = 419,123/x
3. Step 3: Cross multiply
   194,769x = 419,123 × 419,123
4. Step 4: Simplify right side
   194,769x = 175,664,089,129
5. Step 5: Solve for x
   x = 175,664,089,129/194,769
6. Step 6: Final answer
   x = 901,909.90