Finding the Third Proportional to 111,983.50 and 169,752

Step by Step Solution

1. Step 1: Write the proportion equation
   111,983.50 : 169,752 = 169,752 : x
2. Step 2: Convert to fraction form
   111,983.50/169,752 = 169,752/x
3. Step 3: Cross multiply
   111,983.50x = 169,752 × 169,752
4. Step 4: Simplify right side
   111,983.50x = 28,815,741,504
5. Step 5: Solve for x
   x = 28,815,741,504/111,983.50
6. Step 6: Final answer
   x = 257,321.32