Finding the Third Proportional to 73,105 and 109,664

Step by Step Solution

1. Step 1: Write the proportion equation
   73,105 : 109,664 = 109,664 : x
2. Step 2: Convert to fraction form
   73,105/109,664 = 109,664/x
3. Step 3: Cross multiply
   73,105x = 109,664 × 109,664
4. Step 4: Simplify right side
   73,105x = 12,026,192,896
5. Step 5: Solve for x
   x = 12,026,192,896/73,105
6. Step 6: Final answer
   x = 164,505.75