Finding the Third Proportional to 194,715 and 419,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,715 : 419,563.50 = 419,563.50 : x
2. Step 2: Convert to fraction form
   194,715/419,563.50 = 419,563.50/x
3. Step 3: Cross multiply
   194,715x = 419,563.50 × 419,563.50
4. Step 4: Simplify right side
   194,715x = 176,033,530,532.25
5. Step 5: Solve for x
   x = 176,033,530,532.25/194,715
6. Step 6: Final answer
   x = 904,057.37