Finding the Third Proportional to 91,766 and 123,501

Step by Step Solution

1. Step 1: Write the proportion equation
   91,766 : 123,501 = 123,501 : x
2. Step 2: Convert to fraction form
   91,766/123,501 = 123,501/x
3. Step 3: Cross multiply
   91,766x = 123,501 × 123,501
4. Step 4: Simplify right side
   91,766x = 15,252,497,001
5. Step 5: Solve for x
   x = 15,252,497,001/91,766
6. Step 6: Final answer
   x = 166,210.76