Finding the Third Proportional to 73,508 and 109,972

Step by Step Solution

1. Step 1: Write the proportion equation
   73,508 : 109,972 = 109,972 : x
2. Step 2: Convert to fraction form
   73,508/109,972 = 109,972/x
3. Step 3: Cross multiply
   73,508x = 109,972 × 109,972
4. Step 4: Simplify right side
   73,508x = 12,093,840,784
5. Step 5: Solve for x
   x = 12,093,840,784/73,508
6. Step 6: Final answer
   x = 164,524.14