Finding the Third Proportional to 50,802 and 77,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,802 : 77,215.50 = 77,215.50 : x
2. Step 2: Convert to fraction form
   50,802/77,215.50 = 77,215.50/x
3. Step 3: Cross multiply
   50,802x = 77,215.50 × 77,215.50
4. Step 4: Simplify right side
   50,802x = 5,962,233,440.25
5. Step 5: Solve for x
   x = 5,962,233,440.25/50,802
6. Step 6: Final answer
   x = 117,362.18