Finding the Third Proportional to 120,033.50 and 262,214

Step by Step Solution

1. Step 1: Write the proportion equation
   120,033.50 : 262,214 = 262,214 : x
2. Step 2: Convert to fraction form
   120,033.50/262,214 = 262,214/x
3. Step 3: Cross multiply
   120,033.50x = 262,214 × 262,214
4. Step 4: Simplify right side
   120,033.50x = 68,756,181,796
5. Step 5: Solve for x
   x = 68,756,181,796/120,033.50
6. Step 6: Final answer
   x = 572,808.27