Finding the Third Proportional to 174,078 and 260,456

Step by Step Solution

1. Step 1: Write the proportion equation
   174,078 : 260,456 = 260,456 : x
2. Step 2: Convert to fraction form
   174,078/260,456 = 260,456/x
3. Step 3: Cross multiply
   174,078x = 260,456 × 260,456
4. Step 4: Simplify right side
   174,078x = 67,837,327,936
5. Step 5: Solve for x
   x = 67,837,327,936/174,078
6. Step 6: Final answer
   x = 389,695.01