Finding the Third Proportional to 49,661 and 75,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,661 : 75,980.50 = 75,980.50 : x
2. Step 2: Convert to fraction form
   49,661/75,980.50 = 75,980.50/x
3. Step 3: Cross multiply
   49,661x = 75,980.50 × 75,980.50
4. Step 4: Simplify right side
   49,661x = 5,773,036,380.25
5. Step 5: Solve for x
   x = 5,773,036,380.25/49,661
6. Step 6: Final answer
   x = 116,248.90