Finding the Third Proportional to 83,877 and 123,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,877 : 123,142.50 = 123,142.50 : x
2. Step 2: Convert to fraction form
   83,877/123,142.50 = 123,142.50/x
3. Step 3: Cross multiply
   83,877x = 123,142.50 × 123,142.50
4. Step 4: Simplify right side
   83,877x = 15,164,075,306.25
5. Step 5: Solve for x
   x = 15,164,075,306.25/83,877
6. Step 6: Final answer
   x = 180,789.43