Finding the Third Proportional to 491,274 and 781,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   491,274 : 781,198.50 = 781,198.50 : x
2. Step 2: Convert to fraction form
   491,274/781,198.50 = 781,198.50/x
3. Step 3: Cross multiply
   491,274x = 781,198.50 × 781,198.50
4. Step 4: Simplify right side
   491,274x = 610,271,096,402.25
5. Step 5: Solve for x
   x = 610,271,096,402.25/491,274
6. Step 6: Final answer
   x = 1,242,221.44