Finding the Third Proportional to 91,785 and 123,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,785 : 123,520.50 = 123,520.50 : x
2. Step 2: Convert to fraction form
   91,785/123,520.50 = 123,520.50/x
3. Step 3: Cross multiply
   91,785x = 123,520.50 × 123,520.50
4. Step 4: Simplify right side
   91,785x = 15,257,313,920.25
5. Step 5: Solve for x
   x = 15,257,313,920.25/91,785
6. Step 6: Final answer
   x = 166,228.84