Finding the Third Proportional to 491,696 and 759,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   491,696 : 759,380.50 = 759,380.50 : x
2. Step 2: Convert to fraction form
   491,696/759,380.50 = 759,380.50/x
3. Step 3: Cross multiply
   491,696x = 759,380.50 × 759,380.50
4. Step 4: Simplify right side
   491,696x = 576,658,743,780.25
5. Step 5: Solve for x
   x = 576,658,743,780.25/491,696
6. Step 6: Final answer
   x = 1,172,795.27