Finding the Third Proportional to 106,320 and 164,505

Step by Step Solution

1. Step 1: Write the proportion equation
   106,320 : 164,505 = 164,505 : x
2. Step 2: Convert to fraction form
   106,320/164,505 = 164,505/x
3. Step 3: Cross multiply
   106,320x = 164,505 × 164,505
4. Step 4: Simplify right side
   106,320x = 27,061,895,025
5. Step 5: Solve for x
   x = 27,061,895,025/106,320
6. Step 6: Final answer
   x = 254,532.50