Finding the Third Proportional to 73,134 and 109,665

Step by Step Solution

1. Step 1: Write the proportion equation
   73,134 : 109,665 = 109,665 : x
2. Step 2: Convert to fraction form
   73,134/109,665 = 109,665/x
3. Step 3: Cross multiply
   73,134x = 109,665 × 109,665
4. Step 4: Simplify right side
   73,134x = 12,026,412,225
5. Step 5: Solve for x
   x = 12,026,412,225/73,134
6. Step 6: Final answer
   x = 164,443.52