Finding the Third Proportional to 85,616 and 113,634

Step by Step Solution

1. Step 1: Write the proportion equation
   85,616 : 113,634 = 113,634 : x
2. Step 2: Convert to fraction form
   85,616/113,634 = 113,634/x
3. Step 3: Cross multiply
   85,616x = 113,634 × 113,634
4. Step 4: Simplify right side
   85,616x = 12,912,685,956
5. Step 5: Solve for x
   x = 12,912,685,956/85,616
6. Step 6: Final answer
   x = 150,820.94