Finding the Third Proportional to 109,616 and 164,124

Step by Step Solution

1. Step 1: Write the proportion equation
   109,616 : 164,124 = 164,124 : x
2. Step 2: Convert to fraction form
   109,616/164,124 = 164,124/x
3. Step 3: Cross multiply
   109,616x = 164,124 × 164,124
4. Step 4: Simplify right side
   109,616x = 26,936,687,376
5. Step 5: Solve for x
   x = 26,936,687,376/109,616
6. Step 6: Final answer
   x = 245,736.82