Finding the Third Proportional to 114,375.50 and 173,507.25

Step by Step Solution

1. Step 1: Write the proportion equation
   114,375.50 : 173,507.25 = 173,507.25 : x
2. Step 2: Convert to fraction form
   114,375.50/173,507.25 = 173,507.25/x
3. Step 3: Cross multiply
   114,375.50x = 173,507.25 × 173,507.25
4. Step 4: Simplify right side
   114,375.50x = 30,104,765,802.56
5. Step 5: Solve for x
   x = 30,104,765,802.56/114,375.50
6. Step 6: Final answer
   x = 263,209.92