Finding the Third Proportional to 114,267 and 178,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,267 : 178,690.50 = 178,690.50 : x
2. Step 2: Convert to fraction form
   114,267/178,690.50 = 178,690.50/x
3. Step 3: Cross multiply
   114,267x = 178,690.50 × 178,690.50
4. Step 4: Simplify right side
   114,267x = 31,930,294,790.25
5. Step 5: Solve for x
   x = 31,930,294,790.25/114,267
6. Step 6: Final answer
   x = 279,435.84