Finding the Third Proportional to 50,769 and 77,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,769 : 77,206.50 = 77,206.50 : x
2. Step 2: Convert to fraction form
   50,769/77,206.50 = 77,206.50/x
3. Step 3: Cross multiply
   50,769x = 77,206.50 × 77,206.50
4. Step 4: Simplify right side
   50,769x = 5,960,843,642.25
5. Step 5: Solve for x
   x = 5,960,843,642.25/50,769
6. Step 6: Final answer
   x = 117,411.09