Finding the Third Proportional to 456,409.69 and 710,451

Step by Step Solution

1. Step 1: Write the proportion equation
   456,409.69 : 710,451 = 710,451 : x
2. Step 2: Convert to fraction form
   456,409.69/710,451 = 710,451/x
3. Step 3: Cross multiply
   456,409.69x = 710,451 × 710,451
4. Step 4: Simplify right side
   456,409.69x = 504,740,623,401
5. Step 5: Solve for x
   x = 504,740,623,401/456,409.69
6. Step 6: Final answer
   x = 1,105,893.76