Finding the Third Proportional to 108,614 and 164,480

Step by Step Solution

1. Step 1: Write the proportion equation
   108,614 : 164,480 = 164,480 : x
2. Step 2: Convert to fraction form
   108,614/164,480 = 164,480/x
3. Step 3: Cross multiply
   108,614x = 164,480 × 164,480
4. Step 4: Simplify right side
   108,614x = 27,053,670,400
5. Step 5: Solve for x
   x = 27,053,670,400/108,614
6. Step 6: Final answer
   x = 249,080.88