Finding the Third Proportional to 456,332 and 709,388

Step by Step Solution

1. Step 1: Write the proportion equation
   456,332 : 709,388 = 709,388 : x
2. Step 2: Convert to fraction form
   456,332/709,388 = 709,388/x
3. Step 3: Cross multiply
   456,332x = 709,388 × 709,388
4. Step 4: Simplify right side
   456,332x = 503,231,334,544
5. Step 5: Solve for x
   x = 503,231,334,544/456,332
6. Step 6: Final answer
   x = 1,102,774.59