Finding the Third Proportional to 200,826 and 418,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,826 : 418,282.50 = 418,282.50 : x
2. Step 2: Convert to fraction form
   200,826/418,282.50 = 418,282.50/x
3. Step 3: Cross multiply
   200,826x = 418,282.50 × 418,282.50
4. Step 4: Simplify right side
   200,826x = 174,960,249,806.25
5. Step 5: Solve for x
   x = 174,960,249,806.25/200,826
6. Step 6: Final answer
   x = 871,203.18