Finding the Third Proportional to 303,468 and 471,501.75

Step by Step Solution

1. Step 1: Write the proportion equation
   303,468 : 471,501.75 = 471,501.75 : x
2. Step 2: Convert to fraction form
   303,468/471,501.75 = 471,501.75/x
3. Step 3: Cross multiply
   303,468x = 471,501.75 × 471,501.75
4. Step 4: Simplify right side
   303,468x = 222,313,900,253.06
5. Step 5: Solve for x
   x = 222,313,900,253.06/303,468
6. Step 6: Final answer
   x = 732,577.74