Finding the Third Proportional to 409,986 and 900,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409,986 : 900,688.50 = 900,688.50 : x
2. Step 2: Convert to fraction form
   409,986/900,688.50 = 900,688.50/x
3. Step 3: Cross multiply
   409,986x = 900,688.50 × 900,688.50
4. Step 4: Simplify right side
   409,986x = 811,239,774,032.25
5. Step 5: Solve for x
   x = 811,239,774,032.25/409,986
6. Step 6: Final answer
   x = 1,978,701.16