Finding the Third Proportional to 120,682 and 265,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,682 : 265,003.50 = 265,003.50 : x
2. Step 2: Convert to fraction form
   120,682/265,003.50 = 265,003.50/x
3. Step 3: Cross multiply
   120,682x = 265,003.50 × 265,003.50
4. Step 4: Simplify right side
   120,682x = 70,226,855,012.25
5. Step 5: Solve for x
   x = 70,226,855,012.25/120,682
6. Step 6: Final answer
   x = 581,916.57