Finding the Third Proportional to 110,971.50 and 169,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   110,971.50 : 169,223.25 = 169,223.25 : x
2. Step 2: Convert to fraction form
   110,971.50/169,223.25 = 169,223.25/x
3. Step 3: Cross multiply
   110,971.50x = 169,223.25 × 169,223.25
4. Step 4: Simplify right side
   110,971.50x = 28,636,508,340.56
5. Step 5: Solve for x
   x = 28,636,508,340.56/110,971.50
6. Step 6: Final answer
   x = 258,052.82