Finding the Third Proportional to 104,092 and 164,665

Step by Step Solution

1. Step 1: Write the proportion equation
   104,092 : 164,665 = 164,665 : x
2. Step 2: Convert to fraction form
   104,092/164,665 = 164,665/x
3. Step 3: Cross multiply
   104,092x = 164,665 × 164,665
4. Step 4: Simplify right side
   104,092x = 27,114,562,225
5. Step 5: Solve for x
   x = 27,114,562,225/104,092
6. Step 6: Final answer
   x = 260,486.51