Finding the Third Proportional to 91,767 and 123,501.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,767 : 123,501.75 = 123,501.75 : x
2. Step 2: Convert to fraction form
   91,767/123,501.75 = 123,501.75/x
3. Step 3: Cross multiply
   91,767x = 123,501.75 × 123,501.75
4. Step 4: Simplify right side
   91,767x = 15,252,682,253.06
5. Step 5: Solve for x
   x = 15,252,682,253.06/91,767
6. Step 6: Final answer
   x = 166,210.97