Finding the Third Proportional to 491,140 and 758,406

Step by Step Solution

1. Step 1: Write the proportion equation
   491,140 : 758,406 = 758,406 : x
2. Step 2: Convert to fraction form
   491,140/758,406 = 758,406/x
3. Step 3: Cross multiply
   491,140x = 758,406 × 758,406
4. Step 4: Simplify right side
   491,140x = 575,179,660,836
5. Step 5: Solve for x
   x = 575,179,660,836/491,140
6. Step 6: Final answer
   x = 1,171,111.42