Finding the Third Proportional to 271,498.50 and 596,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,498.50 : 596,527.50 = 596,527.50 : x
2. Step 2: Convert to fraction form
   271,498.50/596,527.50 = 596,527.50/x
3. Step 3: Cross multiply
   271,498.50x = 596,527.50 × 596,527.50
4. Step 4: Simplify right side
   271,498.50x = 355,845,058,256.25
5. Step 5: Solve for x
   x = 355,845,058,256.25/271,498.50
6. Step 6: Final answer
   x = 1,310,670.44