Finding the Third Proportional to 143,733 and 164,492

Step by Step Solution

1. Step 1: Write the proportion equation
   143,733 : 164,492 = 164,492 : x
2. Step 2: Convert to fraction form
   143,733/164,492 = 164,492/x
3. Step 3: Cross multiply
   143,733x = 164,492 × 164,492
4. Step 4: Simplify right side
   143,733x = 27,057,618,064
5. Step 5: Solve for x
   x = 27,057,618,064/143,733
6. Step 6: Final answer
   x = 188,249.17