Finding the Third Proportional to 194,561.25 and 419,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,561.25 : 419,137.50 = 419,137.50 : x
2. Step 2: Convert to fraction form
   194,561.25/419,137.50 = 419,137.50/x
3. Step 3: Cross multiply
   194,561.25x = 419,137.50 × 419,137.50
4. Step 4: Simplify right side
   194,561.25x = 175,676,243,906.25
5. Step 5: Solve for x
   x = 175,676,243,906.25/194,561.25
6. Step 6: Final answer
   x = 902,935.42