Finding the Third Proportional to 269,300.50 and 409,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,300.50 : 409,547.50 = 409,547.50 : x
2. Step 2: Convert to fraction form
   269,300.50/409,547.50 = 409,547.50/x
3. Step 3: Cross multiply
   269,300.50x = 409,547.50 × 409,547.50
4. Step 4: Simplify right side
   269,300.50x = 167,729,154,756.25
5. Step 5: Solve for x
   x = 167,729,154,756.25/269,300.50
6. Step 6: Final answer
   x = 622,832.69