Finding the Third Proportional to 314,622 and 471,966.75

Step by Step Solution

1. Step 1: Write the proportion equation
   314,622 : 471,966.75 = 471,966.75 : x
2. Step 2: Convert to fraction form
   314,622/471,966.75 = 471,966.75/x
3. Step 3: Cross multiply
   314,622x = 471,966.75 × 471,966.75
4. Step 4: Simplify right side
   314,622x = 222,752,613,105.56
5. Step 5: Solve for x
   x = 222,752,613,105.56/314,622
6. Step 6: Final answer
   x = 708,000.75