Finding the Third Proportional to 110,213 and 164,892

Step by Step Solution

1. Step 1: Write the proportion equation
   110,213 : 164,892 = 164,892 : x
2. Step 2: Convert to fraction form
   110,213/164,892 = 164,892/x
3. Step 3: Cross multiply
   110,213x = 164,892 × 164,892
4. Step 4: Simplify right side
   110,213x = 27,189,371,664
5. Step 5: Solve for x
   x = 27,189,371,664/110,213
6. Step 6: Final answer
   x = 246,698.41