Finding the Third Proportional to 101,223 and 160,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,223 : 160,879.50 = 160,879.50 : x
2. Step 2: Convert to fraction form
   101,223/160,879.50 = 160,879.50/x
3. Step 3: Cross multiply
   101,223x = 160,879.50 × 160,879.50
4. Step 4: Simplify right side
   101,223x = 25,882,213,520.25
5. Step 5: Solve for x
   x = 25,882,213,520.25/101,223
6. Step 6: Final answer
   x = 255,694.99