Finding the Third Proportional to 191,404.50 and 419,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,404.50 : 419,443.50 = 419,443.50 : x
2. Step 2: Convert to fraction form
   191,404.50/419,443.50 = 419,443.50/x
3. Step 3: Cross multiply
   191,404.50x = 419,443.50 × 419,443.50
4. Step 4: Simplify right side
   191,404.50x = 175,932,849,692.25
5. Step 5: Solve for x
   x = 175,932,849,692.25/191,404.50
6. Step 6: Final answer
   x = 919,167.78