Finding the Third Proportional to 275,683.50 and 322,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,683.50 : 322,096.50 = 322,096.50 : x
2. Step 2: Convert to fraction form
   275,683.50/322,096.50 = 322,096.50/x
3. Step 3: Cross multiply
   275,683.50x = 322,096.50 × 322,096.50
4. Step 4: Simplify right side
   275,683.50x = 103,746,155,312.25
5. Step 5: Solve for x
   x = 103,746,155,312.25/275,683.50
6. Step 6: Final answer
   x = 376,323.41