Finding the Third Proportional to 215,790 and 326,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   215,790 : 326,683.50 = 326,683.50 : x
2. Step 2: Convert to fraction form
   215,790/326,683.50 = 326,683.50/x
3. Step 3: Cross multiply
   215,790x = 326,683.50 × 326,683.50
4. Step 4: Simplify right side
   215,790x = 106,722,109,172.25
5. Step 5: Solve for x
   x = 106,722,109,172.25/215,790
6. Step 6: Final answer
   x = 494,564.67