Finding the Third Proportional to 72,911 and 114,227

Step by Step Solution

1. Step 1: Write the proportion equation
   72,911 : 114,227 = 114,227 : x
2. Step 2: Convert to fraction form
   72,911/114,227 = 114,227/x
3. Step 3: Cross multiply
   72,911x = 114,227 × 114,227
4. Step 4: Simplify right side
   72,911x = 13,047,807,529
5. Step 5: Solve for x
   x = 13,047,807,529/72,911
6. Step 6: Final answer
   x = 178,955.27