Finding the Third Proportional to 109,899.50 and 171,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,899.50 : 171,269.50 = 171,269.50 : x
2. Step 2: Convert to fraction form
   109,899.50/171,269.50 = 171,269.50/x
3. Step 3: Cross multiply
   109,899.50x = 171,269.50 × 171,269.50
4. Step 4: Simplify right side
   109,899.50x = 29,333,241,630.25
5. Step 5: Solve for x
   x = 29,333,241,630.25/109,899.50
6. Step 6: Final answer
   x = 266,909.69