Finding the Third Proportional to 91,688 and 123,708

Step by Step Solution

1. Step 1: Write the proportion equation
   91,688 : 123,708 = 123,708 : x
2. Step 2: Convert to fraction form
   91,688/123,708 = 123,708/x
3. Step 3: Cross multiply
   91,688x = 123,708 × 123,708
4. Step 4: Simplify right side
   91,688x = 15,303,669,264
5. Step 5: Solve for x
   x = 15,303,669,264/91,688
6. Step 6: Final answer
   x = 166,910.27