Finding the Third Proportional to 91,680 and 123,696

Step by Step Solution

1. Step 1: Write the proportion equation
   91,680 : 123,696 = 123,696 : x
2. Step 2: Convert to fraction form
   91,680/123,696 = 123,696/x
3. Step 3: Cross multiply
   91,680x = 123,696 × 123,696
4. Step 4: Simplify right side
   91,680x = 15,300,700,416
5. Step 5: Solve for x
   x = 15,300,700,416/91,680
6. Step 6: Final answer
   x = 166,892.46