Finding the Third Proportional to 102,942 and 164,390

Step by Step Solution

1. Step 1: Write the proportion equation
   102,942 : 164,390 = 164,390 : x
2. Step 2: Convert to fraction form
   102,942/164,390 = 164,390/x
3. Step 3: Cross multiply
   102,942x = 164,390 × 164,390
4. Step 4: Simplify right side
   102,942x = 27,024,072,100
5. Step 5: Solve for x
   x = 27,024,072,100/102,942
6. Step 6: Final answer
   x = 262,517.46