Finding the Third Proportional to 72,405 and 114,921

Step by Step Solution

1. Step 1: Write the proportion equation
   72,405 : 114,921 = 114,921 : x
2. Step 2: Convert to fraction form
   72,405/114,921 = 114,921/x
3. Step 3: Cross multiply
   72,405x = 114,921 × 114,921
4. Step 4: Simplify right side
   72,405x = 13,206,836,241
5. Step 5: Solve for x
   x = 13,206,836,241/72,405
6. Step 6: Final answer
   x = 182,402.27