Finding the Third Proportional to 72,606 and 114,099

Step by Step Solution

1. Step 1: Write the proportion equation
   72,606 : 114,099 = 114,099 : x
2. Step 2: Convert to fraction form
   72,606/114,099 = 114,099/x
3. Step 3: Cross multiply
   72,606x = 114,099 × 114,099
4. Step 4: Simplify right side
   72,606x = 13,018,581,801
5. Step 5: Solve for x
   x = 13,018,581,801/72,606
6. Step 6: Final answer
   x = 179,304.49