Finding the Third Proportional to 135,915 and 195,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,915 : 195,772.50 = 195,772.50 : x
2. Step 2: Convert to fraction form
   135,915/195,772.50 = 195,772.50/x
3. Step 3: Cross multiply
   135,915x = 195,772.50 × 195,772.50
4. Step 4: Simplify right side
   135,915x = 38,326,871,756.25
5. Step 5: Solve for x
   x = 38,326,871,756.25/135,915
6. Step 6: Final answer
   x = 281,991.48