Finding the Third Proportional to 194,780 and 419,152

Step by Step Solution

1. Step 1: Write the proportion equation
   194,780 : 419,152 = 419,152 : x
2. Step 2: Convert to fraction form
   194,780/419,152 = 419,152/x
3. Step 3: Cross multiply
   194,780x = 419,152 × 419,152
4. Step 4: Simplify right side
   194,780x = 175,688,399,104
5. Step 5: Solve for x
   x = 175,688,399,104/194,780
6. Step 6: Final answer
   x = 901,983.77