Finding the Third Proportional to 456,462 and 709,577.25

Step by Step Solution

1. Step 1: Write the proportion equation
   456,462 : 709,577.25 = 709,577.25 : x
2. Step 2: Convert to fraction form
   456,462/709,577.25 = 709,577.25/x
3. Step 3: Cross multiply
   456,462x = 709,577.25 × 709,577.25
4. Step 4: Simplify right side
   456,462x = 503,499,873,717.56
5. Step 5: Solve for x
   x = 503,499,873,717.56/456,462
6. Step 6: Final answer
   x = 1,103,048.83