Finding the Third Proportional to 290,308 and 456,198

Step by Step Solution

1. Step 1: Write the proportion equation
   290,308 : 456,198 = 456,198 : x
2. Step 2: Convert to fraction form
   290,308/456,198 = 456,198/x
3. Step 3: Cross multiply
   290,308x = 456,198 × 456,198
4. Step 4: Simplify right side
   290,308x = 208,116,615,204
5. Step 5: Solve for x
   x = 208,116,615,204/290,308
6. Step 6: Final answer
   x = 716,882.12