Finding the Third Proportional to 145,655 and 196,790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,655 : 196,790.50 = 196,790.50 : x
2. Step 2: Convert to fraction form
   145,655/196,790.50 = 196,790.50/x
3. Step 3: Cross multiply
   145,655x = 196,790.50 × 196,790.50
4. Step 4: Simplify right side
   145,655x = 38,726,500,890.25
5. Step 5: Solve for x
   x = 38,726,500,890.25/145,655
6. Step 6: Final answer
   x = 265,878.28