Finding the Third Proportional to 105,898 and 164,038

Step by Step Solution

1. Step 1: Write the proportion equation
   105,898 : 164,038 = 164,038 : x
2. Step 2: Convert to fraction form
   105,898/164,038 = 164,038/x
3. Step 3: Cross multiply
   105,898x = 164,038 × 164,038
4. Step 4: Simplify right side
   105,898x = 26,908,465,444
5. Step 5: Solve for x
   x = 26,908,465,444/105,898
6. Step 6: Final answer
   x = 254,097.96