Finding the Third Proportional to 114,291 and 173,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,291 : 173,623.50 = 173,623.50 : x
2. Step 2: Convert to fraction form
   114,291/173,623.50 = 173,623.50/x
3. Step 3: Cross multiply
   114,291x = 173,623.50 × 173,623.50
4. Step 4: Simplify right side
   114,291x = 30,145,119,752.25
5. Step 5: Solve for x
   x = 30,145,119,752.25/114,291
6. Step 6: Final answer
   x = 263,757.60