Finding the Third Proportional to 375,316.50 and 582,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   375,316.50 : 582,016.50 = 582,016.50 : x
2. Step 2: Convert to fraction form
   375,316.50/582,016.50 = 582,016.50/x
3. Step 3: Cross multiply
   375,316.50x = 582,016.50 × 582,016.50
4. Step 4: Simplify right side
   375,316.50x = 338,743,206,272.25
5. Step 5: Solve for x
   x = 338,743,206,272.25/375,316.50
6. Step 6: Final answer
   x = 902,553.46