Finding the Third Proportional to 128,097 and 204,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,097 : 204,637.50 = 204,637.50 : x
2. Step 2: Convert to fraction form
   128,097/204,637.50 = 204,637.50/x
3. Step 3: Cross multiply
   128,097x = 204,637.50 × 204,637.50
4. Step 4: Simplify right side
   128,097x = 41,876,506,406.25
5. Step 5: Solve for x
   x = 41,876,506,406.25/128,097
6. Step 6: Final answer
   x = 326,912.47