Finding the Third Proportional to 50,899 and 76,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,899 : 76,906.50 = 76,906.50 : x
2. Step 2: Convert to fraction form
   50,899/76,906.50 = 76,906.50/x
3. Step 3: Cross multiply
   50,899x = 76,906.50 × 76,906.50
4. Step 4: Simplify right side
   50,899x = 5,914,609,742.25
5. Step 5: Solve for x
   x = 5,914,609,742.25/50,899
6. Step 6: Final answer
   x = 116,202.87