Finding the Third Proportional to 105,174 and 162,948

Step by Step Solution

1. Step 1: Write the proportion equation
   105,174 : 162,948 = 162,948 : x
2. Step 2: Convert to fraction form
   105,174/162,948 = 162,948/x
3. Step 3: Cross multiply
   105,174x = 162,948 × 162,948
4. Step 4: Simplify right side
   105,174x = 26,552,050,704
5. Step 5: Solve for x
   x = 26,552,050,704/105,174
6. Step 6: Final answer
   x = 252,458.31