Finding the Third Proportional to 73,648 and 114,832

Step by Step Solution

1. Step 1: Write the proportion equation
   73,648 : 114,832 = 114,832 : x
2. Step 2: Convert to fraction form
   73,648/114,832 = 114,832/x
3. Step 3: Cross multiply
   73,648x = 114,832 × 114,832
4. Step 4: Simplify right side
   73,648x = 13,186,388,224
5. Step 5: Solve for x
   x = 13,186,388,224/73,648
6. Step 6: Final answer
   x = 179,046.11