Finding the Third Proportional to 128,601 and 204,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,601 : 204,637.50 = 204,637.50 : x
2. Step 2: Convert to fraction form
   128,601/204,637.50 = 204,637.50/x
3. Step 3: Cross multiply
   128,601x = 204,637.50 × 204,637.50
4. Step 4: Simplify right side
   128,601x = 41,876,506,406.25
5. Step 5: Solve for x
   x = 41,876,506,406.25/128,601
6. Step 6: Final answer
   x = 325,631.27