Finding the Third Proportional to 50,803.50 and 77,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,803.50 : 77,218.50 = 77,218.50 : x
2. Step 2: Convert to fraction form
   50,803.50/77,218.50 = 77,218.50/x
3. Step 3: Cross multiply
   50,803.50x = 77,218.50 × 77,218.50
4. Step 4: Simplify right side
   50,803.50x = 5,962,696,742.25
5. Step 5: Solve for x
   x = 5,962,696,742.25/50,803.50
6. Step 6: Final answer
   x = 117,367.83