Finding the Third Proportional to 197,766 and 409,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   197,766 : 409,549.50 = 409,549.50 : x
2. Step 2: Convert to fraction form
   197,766/409,549.50 = 409,549.50/x
3. Step 3: Cross multiply
   197,766x = 409,549.50 × 409,549.50
4. Step 4: Simplify right side
   197,766x = 167,730,792,950.25
5. Step 5: Solve for x
   x = 167,730,792,950.25/197,766
6. Step 6: Final answer
   x = 848,127.55