Finding the Third Proportional to 472,757 and 707,464.75

Step by Step Solution

1. Step 1: Write the proportion equation
   472,757 : 707,464.75 = 707,464.75 : x
2. Step 2: Convert to fraction form
   472,757/707,464.75 = 707,464.75/x
3. Step 3: Cross multiply
   472,757x = 707,464.75 × 707,464.75
4. Step 4: Simplify right side
   472,757x = 500,506,372,492.56
5. Step 5: Solve for x
   x = 500,506,372,492.56/472,757
6. Step 6: Final answer
   x = 1,058,696.90