Finding the Third Proportional to 409,584 and 897,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409,584 : 897,900.50 = 897,900.50 : x
2. Step 2: Convert to fraction form
   409,584/897,900.50 = 897,900.50/x
3. Step 3: Cross multiply
   409,584x = 897,900.50 × 897,900.50
4. Step 4: Simplify right side
   409,584x = 806,225,307,900.25
5. Step 5: Solve for x
   x = 806,225,307,900.25/409,584
6. Step 6: Final answer
   x = 1,968,400.40