Finding the Third Proportional to 140,649 and 286,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,649 : 286,519.50 = 286,519.50 : x
2. Step 2: Convert to fraction form
   140,649/286,519.50 = 286,519.50/x
3. Step 3: Cross multiply
   140,649x = 286,519.50 × 286,519.50
4. Step 4: Simplify right side
   140,649x = 82,093,423,880.25
5. Step 5: Solve for x
   x = 82,093,423,880.25/140,649
6. Step 6: Final answer
   x = 583,675.84