Finding the Third Proportional to 201,241 and 419,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,241 : 419,017.50 = 419,017.50 : x
2. Step 2: Convert to fraction form
   201,241/419,017.50 = 419,017.50/x
3. Step 3: Cross multiply
   201,241x = 419,017.50 × 419,017.50
4. Step 4: Simplify right side
   201,241x = 175,575,665,306.25
5. Step 5: Solve for x
   x = 175,575,665,306.25/201,241
6. Step 6: Final answer
   x = 872,464.68