Finding the Third Proportional to 271,647 and 423,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,647 : 423,859.50 = 423,859.50 : x
2. Step 2: Convert to fraction form
   271,647/423,859.50 = 423,859.50/x
3. Step 3: Cross multiply
   271,647x = 423,859.50 × 423,859.50
4. Step 4: Simplify right side
   271,647x = 179,656,875,740.25
5. Step 5: Solve for x
   x = 179,656,875,740.25/271,647
6. Step 6: Final answer
   x = 661,361.53