Finding the Third Proportional to 289,781 and 443,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   289,781 : 443,276.50 = 443,276.50 : x
2. Step 2: Convert to fraction form
   289,781/443,276.50 = 443,276.50/x
3. Step 3: Cross multiply
   289,781x = 443,276.50 × 443,276.50
4. Step 4: Simplify right side
   289,781x = 196,494,055,452.25
5. Step 5: Solve for x
   x = 196,494,055,452.25/289,781
6. Step 6: Final answer
   x = 678,077.77