Finding the Third Proportional to 72,884 and 109,551

Step by Step Solution

1. Step 1: Write the proportion equation
   72,884 : 109,551 = 109,551 : x
2. Step 2: Convert to fraction form
   72,884/109,551 = 109,551/x
3. Step 3: Cross multiply
   72,884x = 109,551 × 109,551
4. Step 4: Simplify right side
   72,884x = 12,001,421,601
5. Step 5: Solve for x
   x = 12,001,421,601/72,884
6. Step 6: Final answer
   x = 164,664.69