Finding the Third Proportional to 120,033 and 200,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,033 : 200,065.50 = 200,065.50 : x
2. Step 2: Convert to fraction form
   120,033/200,065.50 = 200,065.50/x
3. Step 3: Cross multiply
   120,033x = 200,065.50 × 200,065.50
4. Step 4: Simplify right side
   120,033x = 40,026,204,290.25
5. Step 5: Solve for x
   x = 40,026,204,290.25/120,033
6. Step 6: Final answer
   x = 333,460.00