Finding the Third Proportional to 106,638 and 162,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,638 : 162,259.50 = 162,259.50 : x
2. Step 2: Convert to fraction form
   106,638/162,259.50 = 162,259.50/x
3. Step 3: Cross multiply
   106,638x = 162,259.50 × 162,259.50
4. Step 4: Simplify right side
   106,638x = 26,328,145,340.25
5. Step 5: Solve for x
   x = 26,328,145,340.25/106,638
6. Step 6: Final answer
   x = 246,892.71