Finding the Third Proportional to 105,614 and 162,117

Step by Step Solution

1. Step 1: Write the proportion equation
   105,614 : 162,117 = 162,117 : x
2. Step 2: Convert to fraction form
   105,614/162,117 = 162,117/x
3. Step 3: Cross multiply
   105,614x = 162,117 × 162,117
4. Step 4: Simplify right side
   105,614x = 26,281,921,689
5. Step 5: Solve for x
   x = 26,281,921,689/105,614
6. Step 6: Final answer
   x = 248,848.84