Finding the Third Proportional to 185,494 and 262,040

Step by Step Solution

1. Step 1: Write the proportion equation
   185,494 : 262,040 = 262,040 : x
2. Step 2: Convert to fraction form
   185,494/262,040 = 262,040/x
3. Step 3: Cross multiply
   185,494x = 262,040 × 262,040
4. Step 4: Simplify right side
   185,494x = 68,664,961,600
5. Step 5: Solve for x
   x = 68,664,961,600/185,494
6. Step 6: Final answer
   x = 370,173.49