Finding the Third Proportional to 114,113.50 and 231,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,113.50 : 231,682.50 = 231,682.50 : x
2. Step 2: Convert to fraction form
   114,113.50/231,682.50 = 231,682.50/x
3. Step 3: Cross multiply
   114,113.50x = 231,682.50 × 231,682.50
4. Step 4: Simplify right side
   114,113.50x = 53,676,780,806.25
5. Step 5: Solve for x
   x = 53,676,780,806.25/114,113.50
6. Step 6: Final answer
   x = 470,380.64