Finding the Third Proportional to 85,783.69 and 123,754.41

Step by Step Solution

1. Step 1: Write the proportion equation
   85,783.69 : 123,754.41 = 123,754.41 : x
2. Step 2: Convert to fraction form
   85,783.69/123,754.41 = 123,754.41/x
3. Step 3: Cross multiply
   85,783.69x = 123,754.41 × 123,754.41
4. Step 4: Simplify right side
   85,783.69x = 15,315,153,066.29
5. Step 5: Solve for x
   x = 15,315,153,066.29/85,783.69
6. Step 6: Final answer
   x = 178,532.23