Finding the Third Proportional to 85,614 and 113,601

Step by Step Solution

1. Step 1: Write the proportion equation
   85,614 : 113,601 = 113,601 : x
2. Step 2: Convert to fraction form
   85,614/113,601 = 113,601/x
3. Step 3: Cross multiply
   85,614x = 113,601 × 113,601
4. Step 4: Simplify right side
   85,614x = 12,905,187,201
5. Step 5: Solve for x
   x = 12,905,187,201/85,614
6. Step 6: Final answer
   x = 150,736.88