Finding the Third Proportional to 73,624 and 114,648

Step by Step Solution

1. Step 1: Write the proportion equation
   73,624 : 114,648 = 114,648 : x
2. Step 2: Convert to fraction form
   73,624/114,648 = 114,648/x
3. Step 3: Cross multiply
   73,624x = 114,648 × 114,648
4. Step 4: Simplify right side
   73,624x = 13,144,163,904
5. Step 5: Solve for x
   x = 13,144,163,904/73,624
6. Step 6: Final answer
   x = 178,530.97