Finding the Third Proportional to 204,129 and 290,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,129 : 290,317.50 = 290,317.50 : x
2. Step 2: Convert to fraction form
   204,129/290,317.50 = 290,317.50/x
3. Step 3: Cross multiply
   204,129x = 290,317.50 × 290,317.50
4. Step 4: Simplify right side
   204,129x = 84,284,250,806.25
5. Step 5: Solve for x
   x = 84,284,250,806.25/204,129
6. Step 6: Final answer
   x = 412,897.00