Finding the Third Proportional to 201,666 and 254,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,666 : 254,857.50 = 254,857.50 : x
2. Step 2: Convert to fraction form
   201,666/254,857.50 = 254,857.50/x
3. Step 3: Cross multiply
   201,666x = 254,857.50 × 254,857.50
4. Step 4: Simplify right side
   201,666x = 64,952,345,306.25
5. Step 5: Solve for x
   x = 64,952,345,306.25/201,666
6. Step 6: Final answer
   x = 322,078.81