Finding the Third Proportional to 271,738.50 and 369,009

Step by Step Solution

1. Step 1: Write the proportion equation
   271,738.50 : 369,009 = 369,009 : x
2. Step 2: Convert to fraction form
   271,738.50/369,009 = 369,009/x
3. Step 3: Cross multiply
   271,738.50x = 369,009 × 369,009
4. Step 4: Simplify right side
   271,738.50x = 136,167,642,081
5. Step 5: Solve for x
   x = 136,167,642,081/271,738.50
6. Step 6: Final answer
   x = 501,098.09