Finding the Third Proportional to 456,457 and 605,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456,457 : 605,809.50 = 605,809.50 : x
2. Step 2: Convert to fraction form
   456,457/605,809.50 = 605,809.50/x
3. Step 3: Cross multiply
   456,457x = 605,809.50 × 605,809.50
4. Step 4: Simplify right side
   456,457x = 367,005,150,290.25
5. Step 5: Solve for x
   x = 367,005,150,290.25/456,457
6. Step 6: Final answer
   x = 804,030.06