Finding the Third Proportional to 199,575 and 271,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,575 : 271,462.50 = 271,462.50 : x
2. Step 2: Convert to fraction form
   199,575/271,462.50 = 271,462.50/x
3. Step 3: Cross multiply
   199,575x = 271,462.50 × 271,462.50
4. Step 4: Simplify right side
   199,575x = 73,691,888,906.25
5. Step 5: Solve for x
   x = 73,691,888,906.25/199,575
6. Step 6: Final answer
   x = 369,244.09