Finding the Third Proportional to 49,855.50 and 84,138.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,855.50 : 84,138.75 = 84,138.75 : x
2. Step 2: Convert to fraction form
   49,855.50/84,138.75 = 84,138.75/x
3. Step 3: Cross multiply
   49,855.50x = 84,138.75 × 84,138.75
4. Step 4: Simplify right side
   49,855.50x = 7,079,329,251.56
5. Step 5: Solve for x
   x = 7,079,329,251.56/49,855.50
6. Step 6: Final answer
   x = 141,996.96