Finding the Third Proportional to 102,062.25 and 158,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,062.25 : 158,683.50 = 158,683.50 : x
2. Step 2: Convert to fraction form
   102,062.25/158,683.50 = 158,683.50/x
3. Step 3: Cross multiply
   102,062.25x = 158,683.50 × 158,683.50
4. Step 4: Simplify right side
   102,062.25x = 25,180,453,172.25
5. Step 5: Solve for x
   x = 25,180,453,172.25/102,062.25
6. Step 6: Final answer
   x = 246,716.62