Finding the Third Proportional to 50,101.50 and 77,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,101.50 : 77,683.50 = 77,683.50 : x
2. Step 2: Convert to fraction form
   50,101.50/77,683.50 = 77,683.50/x
3. Step 3: Cross multiply
   50,101.50x = 77,683.50 × 77,683.50
4. Step 4: Simplify right side
   50,101.50x = 6,034,726,172.25
5. Step 5: Solve for x
   x = 6,034,726,172.25/50,101.50
6. Step 6: Final answer
   x = 120,450.01