Finding the Third Proportional to 353,097 and 540,243

Step by Step Solution

1. Step 1: Write the proportion equation
   353,097 : 540,243 = 540,243 : x
2. Step 2: Convert to fraction form
   353,097/540,243 = 540,243/x
3. Step 3: Cross multiply
   353,097x = 540,243 × 540,243
4. Step 4: Simplify right side
   353,097x = 291,862,499,049
5. Step 5: Solve for x
   x = 291,862,499,049/353,097
6. Step 6: Final answer
   x = 826,578.81