Finding the Third Proportional to 135,909 and 195,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,909 : 195,763.50 = 195,763.50 : x
2. Step 2: Convert to fraction form
   135,909/195,763.50 = 195,763.50/x
3. Step 3: Cross multiply
   135,909x = 195,763.50 × 195,763.50
4. Step 4: Simplify right side
   135,909x = 38,323,347,932.25
5. Step 5: Solve for x
   x = 38,323,347,932.25/135,909
6. Step 6: Final answer
   x = 281,978.00