Finding the Third Proportional to 114,759 and 175,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,759 : 175,441.50 = 175,441.50 : x
2. Step 2: Convert to fraction form
   114,759/175,441.50 = 175,441.50/x
3. Step 3: Cross multiply
   114,759x = 175,441.50 × 175,441.50
4. Step 4: Simplify right side
   114,759x = 30,779,719,922.25
5. Step 5: Solve for x
   x = 30,779,719,922.25/114,759
6. Step 6: Final answer
   x = 268,211.82