Finding the Third Proportional to 582,120 and 869,585.63

Step by Step Solution

1. Step 1: Write the proportion equation
   582,120 : 869,585.63 = 869,585.63 : x
2. Step 2: Convert to fraction form
   582,120/869,585.63 = 869,585.63/x
3. Step 3: Cross multiply
   582,120x = 869,585.63 × 869,585.63
4. Step 4: Simplify right side
   582,120x = 756,179,159,206.64
5. Step 5: Solve for x
   x = 756,179,159,206.64/582,120
6. Step 6: Final answer
   x = 1,299,009.07