Finding the Third Proportional to 271,469.50 and 409,986

Step by Step Solution

1. Step 1: Write the proportion equation
   271,469.50 : 409,986 = 409,986 : x
2. Step 2: Convert to fraction form
   271,469.50/409,986 = 409,986/x
3. Step 3: Cross multiply
   271,469.50x = 409,986 × 409,986
4. Step 4: Simplify right side
   271,469.50x = 168,088,520,196
5. Step 5: Solve for x
   x = 168,088,520,196/271,469.50
6. Step 6: Final answer
   x = 619,180.13