Finding the Third Proportional to 72,922 and 114,243

Step by Step Solution

1. Step 1: Write the proportion equation
   72,922 : 114,243 = 114,243 : x
2. Step 2: Convert to fraction form
   72,922/114,243 = 114,243/x
3. Step 3: Cross multiply
   72,922x = 114,243 × 114,243
4. Step 4: Simplify right side
   72,922x = 13,051,463,049
5. Step 5: Solve for x
   x = 13,051,463,049/72,922
6. Step 6: Final answer
   x = 178,978.40