Finding the Third Proportional to 482,806 and 709,416

Step by Step Solution

1. Step 1: Write the proportion equation
   482,806 : 709,416 = 709,416 : x
2. Step 2: Convert to fraction form
   482,806/709,416 = 709,416/x
3. Step 3: Cross multiply
   482,806x = 709,416 × 709,416
4. Step 4: Simplify right side
   482,806x = 503,271,061,056
5. Step 5: Solve for x
   x = 503,271,061,056/482,806
6. Step 6: Final answer
   x = 1,042,387.75