Finding the Third Proportional to 199,545 and 271,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,545 : 271,417.50 = 271,417.50 : x
2. Step 2: Convert to fraction form
   199,545/271,417.50 = 271,417.50/x
3. Step 3: Cross multiply
   199,545x = 271,417.50 × 271,417.50
4. Step 4: Simplify right side
   199,545x = 73,667,459,306.25
5. Step 5: Solve for x
   x = 73,667,459,306.25/199,545
6. Step 6: Final answer
   x = 369,177.17