Finding the Third Proportional to 109,584 and 164,500

Step by Step Solution

1. Step 1: Write the proportion equation
   109,584 : 164,500 = 164,500 : x
2. Step 2: Convert to fraction form
   109,584/164,500 = 164,500/x
3. Step 3: Cross multiply
   109,584x = 164,500 × 164,500
4. Step 4: Simplify right side
   109,584x = 27,060,250,000
5. Step 5: Solve for x
   x = 27,060,250,000/109,584
6. Step 6: Final answer
   x = 246,936.14