Finding the Third Proportional to 100,968 and 155,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,968 : 155,662.50 = 155,662.50 : x
2. Step 2: Convert to fraction form
   100,968/155,662.50 = 155,662.50/x
3. Step 3: Cross multiply
   100,968x = 155,662.50 × 155,662.50
4. Step 4: Simplify right side
   100,968x = 24,230,813,906.25
5. Step 5: Solve for x
   x = 24,230,813,906.25/100,968
6. Step 6: Final answer
   x = 239,985.08