Finding the Third Proportional to 106,319 and 164,499

Step by Step Solution

1. Step 1: Write the proportion equation
   106,319 : 164,499 = 164,499 : x
2. Step 2: Convert to fraction form
   106,319/164,499 = 164,499/x
3. Step 3: Cross multiply
   106,319x = 164,499 × 164,499
4. Step 4: Simplify right side
   106,319x = 27,059,921,001
5. Step 5: Solve for x
   x = 27,059,921,001/106,319
6. Step 6: Final answer
   x = 254,516.32