Finding the Third Proportional to 85,666 and 113,667

Step by Step Solution

1. Step 1: Write the proportion equation
   85,666 : 113,667 = 113,667 : x
2. Step 2: Convert to fraction form
   85,666/113,667 = 113,667/x
3. Step 3: Cross multiply
   85,666x = 113,667 × 113,667
4. Step 4: Simplify right side
   85,666x = 12,920,186,889
5. Step 5: Solve for x
   x = 12,920,186,889/85,666
6. Step 6: Final answer
   x = 150,820.48