Finding the Third Proportional to 109,986 and 171,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,986 : 171,553.50 = 171,553.50 : x
2. Step 2: Convert to fraction form
   109,986/171,553.50 = 171,553.50/x
3. Step 3: Cross multiply
   109,986x = 171,553.50 × 171,553.50
4. Step 4: Simplify right side
   109,986x = 29,430,603,362.25
5. Step 5: Solve for x
   x = 29,430,603,362.25/109,986
6. Step 6: Final answer
   x = 267,585.00