Finding the Third Proportional to 123,745.50 and 271,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,745.50 : 271,138.50 = 271,138.50 : x
2. Step 2: Convert to fraction form
   123,745.50/271,138.50 = 271,138.50/x
3. Step 3: Cross multiply
   123,745.50x = 271,138.50 × 271,138.50
4. Step 4: Simplify right side
   123,745.50x = 73,516,086,182.25
5. Step 5: Solve for x
   x = 73,516,086,182.25/123,745.50
6. Step 6: Final answer
   x = 594,090.99