Finding the Third Proportional to 105,894 and 164,030

Step by Step Solution

1. Step 1: Write the proportion equation
   105,894 : 164,030 = 164,030 : x
2. Step 2: Convert to fraction form
   105,894/164,030 = 164,030/x
3. Step 3: Cross multiply
   105,894x = 164,030 × 164,030
4. Step 4: Simplify right side
   105,894x = 26,905,840,900
5. Step 5: Solve for x
   x = 26,905,840,900/105,894
6. Step 6: Final answer
   x = 254,082.77