Finding the Third Proportional to 585,280 and 865,536

Step by Step Solution

1. Step 1: Write the proportion equation
   585,280 : 865,536 = 865,536 : x
2. Step 2: Convert to fraction form
   585,280/865,536 = 865,536/x
3. Step 3: Cross multiply
   585,280x = 865,536 × 865,536
4. Step 4: Simplify right side
   585,280x = 749,152,567,296
5. Step 5: Solve for x
   x = 749,152,567,296/585,280
6. Step 6: Final answer
   x = 1,279,990.03