Finding the Third Proportional to 174,185 and 260,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,185 : 260,600.50 = 260,600.50 : x
2. Step 2: Convert to fraction form
   174,185/260,600.50 = 260,600.50/x
3. Step 3: Cross multiply
   174,185x = 260,600.50 × 260,600.50
4. Step 4: Simplify right side
   174,185x = 67,912,620,600.25
5. Step 5: Solve for x
   x = 67,912,620,600.25/174,185
6. Step 6: Final answer
   x = 389,887.88