Finding the Third Proportional to 91,972 and 123,595

Step by Step Solution

1. Step 1: Write the proportion equation
   91,972 : 123,595 = 123,595 : x
2. Step 2: Convert to fraction form
   91,972/123,595 = 123,595/x
3. Step 3: Cross multiply
   91,972x = 123,595 × 123,595
4. Step 4: Simplify right side
   91,972x = 15,275,724,025
5. Step 5: Solve for x
   x = 15,275,724,025/91,972
6. Step 6: Final answer
   x = 166,091.03