Finding the Third Proportional to 271,918 and 382,240.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,918 : 382,240.50 = 382,240.50 : x
2. Step 2: Convert to fraction form
   271,918/382,240.50 = 382,240.50/x
3. Step 3: Cross multiply
   271,918x = 382,240.50 × 382,240.50
4. Step 4: Simplify right side
   271,918x = 146,107,799,840.25
5. Step 5: Solve for x
   x = 146,107,799,840.25/271,918
6. Step 6: Final answer
   x = 537,323.02