Finding the Third Proportional to 340,114 and 491,662

Step by Step Solution

1. Step 1: Write the proportion equation
   340,114 : 491,662 = 491,662 : x
2. Step 2: Convert to fraction form
   340,114/491,662 = 491,662/x
3. Step 3: Cross multiply
   340,114x = 491,662 × 491,662
4. Step 4: Simplify right side
   340,114x = 241,731,522,244
5. Step 5: Solve for x
   x = 241,731,522,244/340,114
6. Step 6: Final answer
   x = 710,736.76