Finding the Third Proportional to 375,360 and 582,086

Step by Step Solution

1. Step 1: Write the proportion equation
   375,360 : 582,086 = 582,086 : x
2. Step 2: Convert to fraction form
   375,360/582,086 = 582,086/x
3. Step 3: Cross multiply
   375,360x = 582,086 × 582,086
4. Step 4: Simplify right side
   375,360x = 338,824,111,396
5. Step 5: Solve for x
   x = 338,824,111,396/375,360
6. Step 6: Final answer
   x = 902,664.41