Finding the Third Proportional to 72,916 and 114,234

Step by Step Solution

1. Step 1: Write the proportion equation
   72,916 : 114,234 = 114,234 : x
2. Step 2: Convert to fraction form
   72,916/114,234 = 114,234/x
3. Step 3: Cross multiply
   72,916x = 114,234 × 114,234
4. Step 4: Simplify right side
   72,916x = 13,049,406,756
5. Step 5: Solve for x
   x = 13,049,406,756/72,916
6. Step 6: Final answer
   x = 178,964.93