Finding the Third Proportional to 456,642 and 709,810

Step by Step Solution

1. Step 1: Write the proportion equation
   456,642 : 709,810 = 709,810 : x
2. Step 2: Convert to fraction form
   456,642/709,810 = 709,810/x
3. Step 3: Cross multiply
   456,642x = 709,810 × 709,810
4. Step 4: Simplify right side
   456,642x = 503,830,236,100
5. Step 5: Solve for x
   x = 503,830,236,100/456,642
6. Step 6: Final answer
   x = 1,103,337.49