Finding the Third Proportional to 338,196 and 714,096

Step by Step Solution

1. Step 1: Write the proportion equation
   338,196 : 714,096 = 714,096 : x
2. Step 2: Convert to fraction form
   338,196/714,096 = 714,096/x
3. Step 3: Cross multiply
   338,196x = 714,096 × 714,096
4. Step 4: Simplify right side
   338,196x = 509,933,097,216
5. Step 5: Solve for x
   x = 509,933,097,216/338,196
6. Step 6: Final answer
   x = 1,507,803.45