Finding the Third Proportional to 81,674.16 and 123,742.69

Step by Step Solution

1. Step 1: Write the proportion equation
   81,674.16 : 123,742.69 = 123,742.69 : x
2. Step 2: Convert to fraction form
   81,674.16/123,742.69 = 123,742.69/x
3. Step 3: Cross multiply
   81,674.16x = 123,742.69 × 123,742.69
4. Step 4: Simplify right side
   81,674.16x = 15,312,252,709.72
5. Step 5: Solve for x
   x = 15,312,252,709.72/81,674.16
6. Step 6: Final answer
   x = 187,479.78