Finding the Third Proportional to 582,065 and 875,264

Step by Step Solution

1. Step 1: Write the proportion equation
   582,065 : 875,264 = 875,264 : x
2. Step 2: Convert to fraction form
   582,065/875,264 = 875,264/x
3. Step 3: Cross multiply
   582,065x = 875,264 × 875,264
4. Step 4: Simplify right side
   582,065x = 766,087,069,696
5. Step 5: Solve for x
   x = 766,087,069,696/582,065
6. Step 6: Final answer
   x = 1,316,153.81