Finding the Third Proportional to 72,905 and 114,218

Step by Step Solution

1. Step 1: Write the proportion equation
   72,905 : 114,218 = 114,218 : x
2. Step 2: Convert to fraction form
   72,905/114,218 = 114,218/x
3. Step 3: Cross multiply
   72,905x = 114,218 × 114,218
4. Step 4: Simplify right side
   72,905x = 13,045,751,524
5. Step 5: Solve for x
   x = 13,045,751,524/72,905
6. Step 6: Final answer
   x = 178,941.79