Finding the Third Proportional to 129,804 and 189,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,804 : 189,778.50 = 189,778.50 : x
2. Step 2: Convert to fraction form
   129,804/189,778.50 = 189,778.50/x
3. Step 3: Cross multiply
   129,804x = 189,778.50 × 189,778.50
4. Step 4: Simplify right side
   129,804x = 36,015,879,062.25
5. Step 5: Solve for x
   x = 36,015,879,062.25/129,804
6. Step 6: Final answer
   x = 277,463.55