Finding the Third Proportional to 104,963 and 164,180

Step by Step Solution

1. Step 1: Write the proportion equation
   104,963 : 164,180 = 164,180 : x
2. Step 2: Convert to fraction form
   104,963/164,180 = 164,180/x
3. Step 3: Cross multiply
   104,963x = 164,180 × 164,180
4. Step 4: Simplify right side
   104,963x = 26,955,072,400
5. Step 5: Solve for x
   x = 26,955,072,400/104,963
6. Step 6: Final answer
   x = 256,805.47