Finding the Third Proportional to 128,434.50 and 204,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,434.50 : 204,547.50 = 204,547.50 : x
2. Step 2: Convert to fraction form
   128,434.50/204,547.50 = 204,547.50/x
3. Step 3: Cross multiply
   128,434.50x = 204,547.50 × 204,547.50
4. Step 4: Simplify right side
   128,434.50x = 41,839,679,756.25
5. Step 5: Solve for x
   x = 41,839,679,756.25/128,434.50
6. Step 6: Final answer
   x = 325,766.67