Finding the Third Proportional to 456,434 and 709,530

Step by Step Solution

1. Step 1: Write the proportion equation
   456,434 : 709,530 = 709,530 : x
2. Step 2: Convert to fraction form
   456,434/709,530 = 709,530/x
3. Step 3: Cross multiply
   456,434x = 709,530 × 709,530
4. Step 4: Simplify right side
   456,434x = 503,432,820,900
5. Step 5: Solve for x
   x = 503,432,820,900/456,434
6. Step 6: Final answer
   x = 1,102,969.59