Finding the Third Proportional to 72,914 and 114,231

Step by Step Solution

1. Step 1: Write the proportion equation
   72,914 : 114,231 = 114,231 : x
2. Step 2: Convert to fraction form
   72,914/114,231 = 114,231/x
3. Step 3: Cross multiply
   72,914x = 114,231 × 114,231
4. Step 4: Simplify right side
   72,914x = 13,048,721,361
5. Step 5: Solve for x
   x = 13,048,721,361/72,914
6. Step 6: Final answer
   x = 178,960.44