Finding the Third Proportional to 109,126.50 and 168,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,126.50 : 168,190.50 = 168,190.50 : x
2. Step 2: Convert to fraction form
   109,126.50/168,190.50 = 168,190.50/x
3. Step 3: Cross multiply
   109,126.50x = 168,190.50 × 168,190.50
4. Step 4: Simplify right side
   109,126.50x = 28,288,044,290.25
5. Step 5: Solve for x
   x = 28,288,044,290.25/109,126.50
6. Step 6: Final answer
   x = 259,222.50