Finding the Third Proportional to 49,977 and 75,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,977 : 75,109.50 = 75,109.50 : x
2. Step 2: Convert to fraction form
   49,977/75,109.50 = 75,109.50/x
3. Step 3: Cross multiply
   49,977x = 75,109.50 × 75,109.50
4. Step 4: Simplify right side
   49,977x = 5,641,436,990.25
5. Step 5: Solve for x
   x = 5,641,436,990.25/49,977
6. Step 6: Final answer
   x = 112,880.66