Finding the Third Proportional to 456,469.50 and 709,623

Step by Step Solution

1. Step 1: Write the proportion equation
   456,469.50 : 709,623 = 709,623 : x
2. Step 2: Convert to fraction form
   456,469.50/709,623 = 709,623/x
3. Step 3: Cross multiply
   456,469.50x = 709,623 × 709,623
4. Step 4: Simplify right side
   456,469.50x = 503,564,802,129
5. Step 5: Solve for x
   x = 503,564,802,129/456,469.50
6. Step 6: Final answer
   x = 1,103,172.94