Finding the Third Proportional to 376,906.50 and 582,856

Step by Step Solution

1. Step 1: Write the proportion equation
   376,906.50 : 582,856 = 582,856 : x
2. Step 2: Convert to fraction form
   376,906.50/582,856 = 582,856/x
3. Step 3: Cross multiply
   376,906.50x = 582,856 × 582,856
4. Step 4: Simplify right side
   376,906.50x = 339,721,116,736
5. Step 5: Solve for x
   x = 339,721,116,736/376,906.50
6. Step 6: Final answer
   x = 901,340.56