Finding the Third Proportional to 200,851.50 and 266,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,851.50 : 266,557.50 = 266,557.50 : x
2. Step 2: Convert to fraction form
   200,851.50/266,557.50 = 266,557.50/x
3. Step 3: Cross multiply
   200,851.50x = 266,557.50 × 266,557.50
4. Step 4: Simplify right side
   200,851.50x = 71,052,900,806.25
5. Step 5: Solve for x
   x = 71,052,900,806.25/200,851.50
6. Step 6: Final answer
   x = 353,758.38