Finding the Third Proportional to 114,267 and 175,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,267 : 175,288.50 = 175,288.50 : x
2. Step 2: Convert to fraction form
   114,267/175,288.50 = 175,288.50/x
3. Step 3: Cross multiply
   114,267x = 175,288.50 × 175,288.50
4. Step 4: Simplify right side
   114,267x = 30,726,058,232.25
5. Step 5: Solve for x
   x = 30,726,058,232.25/114,267
6. Step 6: Final answer
   x = 268,897.04