Finding the Third Proportional to 203,580 and 267,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   203,580 : 267,706.50 = 267,706.50 : x
2. Step 2: Convert to fraction form
   203,580/267,706.50 = 267,706.50/x
3. Step 3: Cross multiply
   203,580x = 267,706.50 × 267,706.50
4. Step 4: Simplify right side
   203,580x = 71,666,770,142.25
5. Step 5: Solve for x
   x = 71,666,770,142.25/203,580
6. Step 6: Final answer
   x = 352,032.47