Finding the Third Proportional to 269,699.50 and 409,470

Step by Step Solution

1. Step 1: Write the proportion equation
   269,699.50 : 409,470 = 409,470 : x
2. Step 2: Convert to fraction form
   269,699.50/409,470 = 409,470/x
3. Step 3: Cross multiply
   269,699.50x = 409,470 × 409,470
4. Step 4: Simplify right side
   269,699.50x = 167,665,680,900
5. Step 5: Solve for x
   x = 167,665,680,900/269,699.50
6. Step 6: Final answer
   x = 621,675.91