Finding the Third Proportional to 123,877 and 182,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,877 : 182,899.50 = 182,899.50 : x
2. Step 2: Convert to fraction form
   123,877/182,899.50 = 182,899.50/x
3. Step 3: Cross multiply
   123,877x = 182,899.50 × 182,899.50
4. Step 4: Simplify right side
   123,877x = 33,452,227,100.25
5. Step 5: Solve for x
   x = 33,452,227,100.25/123,877
6. Step 6: Final answer
   x = 270,043.89