Finding the Third Proportional to 103,961 and 160,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,961 : 160,909.50 = 160,909.50 : x
2. Step 2: Convert to fraction form
   103,961/160,909.50 = 160,909.50/x
3. Step 3: Cross multiply
   103,961x = 160,909.50 × 160,909.50
4. Step 4: Simplify right side
   103,961x = 25,891,867,190.25
5. Step 5: Solve for x
   x = 25,891,867,190.25/103,961
6. Step 6: Final answer
   x = 249,053.66