Finding the Third Proportional to 135,903 and 195,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,903 : 195,754.50 = 195,754.50 : x
2. Step 2: Convert to fraction form
   135,903/195,754.50 = 195,754.50/x
3. Step 3: Cross multiply
   135,903x = 195,754.50 × 195,754.50
4. Step 4: Simplify right side
   135,903x = 38,319,824,270.25
5. Step 5: Solve for x
   x = 38,319,824,270.25/135,903
6. Step 6: Final answer
   x = 281,964.52