Finding the Third Proportional to 409,293 and 631,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409,293 : 631,435.50 = 631,435.50 : x
2. Step 2: Convert to fraction form
   409,293/631,435.50 = 631,435.50/x
3. Step 3: Cross multiply
   409,293x = 631,435.50 × 631,435.50
4. Step 4: Simplify right side
   409,293x = 398,710,790,660.25
5. Step 5: Solve for x
   x = 398,710,790,660.25/409,293
6. Step 6: Final answer
   x = 974,145.15